elimination | Page 2 | MathCelebrity Forum

elimination

  1. math_celebrity

    Sam has $2.25 in quarters and dimes, and the total number of coins is 12. How many quarters and how

    Sam has $2.25 in quarters and dimes, and the total number of coins is 12. How many quarters and how many dimes? Let d be the number of dimes. Let q be the number of quarters. We're given two equations: 0.1d + 0.25q = 2.25 d + q = 12 We have a simultaneous system of equations. We can solve...
  2. math_celebrity

    Ahmad has a jar containing only 5-cent and 20-cent coins. In total there are 31 coins with a total v

    Ahmad has a jar containing only 5-cent and 20-cent coins. In total there are 31 coins with a total value of $3.50. How many of each type of coin does Ahmad have? Let the number of 5-cent coins be f. Let the number of 20-cent coins be t. We're given two equations: f + t = 31 0.05f + 0.2t =...
  3. math_celebrity

    A first number plus twice a second number is 22. Twice the first number plus the second totals 28. F

    A first number plus twice a second number is 22. Twice the first number plus the second totals 28. Find the numbers. Let the first number be x. Let the second number be y. We're given two equations: x + 2y = 22 <-- Since twice means multiply by 2 2x + y = 28 <-- Since twice means multiply by...
  4. math_celebrity

    On the first day of ticket sales the school sold 3 senior citizen tickets and 10 child tickets for a

    On the first day of ticket sales the school sold 3 senior citizen tickets and 10 child tickets for a total of $82. The school took in $67 on the second day by selling 8 senior citizen tickets And 5 child tickets. What is the price of each ticket? Let the number of child tickets be c Let the...
  5. math_celebrity

    A movie theater charges $7 for adults and $3 for seniors on a particular day when 324 people paid an

    A movie theater charges $7 for adults and $3 for seniors on a particular day when 324 people paid an admission the total receipts were 1228 how many were seniors and how many were adults? Let the number of adult tickets be a. Let the number of senior tickets be s. We're given two equations: a...
  6. math_celebrity

    A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 poin

    A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test? Let the number of true/false questions be t. Let the number of multiple choice...
  7. math_celebrity

    Jill and Jack are getting vegetables from the Farmer's Market. Jill buys 12 carrots and 8 tomatoes f

    Jill and Jack are getting vegetables from the Farmer's Market. Jill buys 12 carrots and 8 tomatoes for $34. Jack buys 10 carrots and 7 tomatoes for $29. How much does each carrot and each tomato cost? Let the cost of carrots be c and the cost of tomatoes be t. Since the total cost is price...
  8. math_celebrity

    Bob bought 10 note books and 4 pens for 18$. Bill bought 6 notebooks and 4 pens for 12$. Find the pr

    Bob bought 10 note books and 4 pens for 18$. Bill bought 6 notebooks and 4 pens for 12$. Find the price of one note book and one pen. Let the price of each notebook be n. Let the price of each pen be p. We're given two equations: 10n + 4p = 18 6n + 4p = 12 Since we have matching coefficients...
  9. math_celebrity

    Jack has 34 bills and coins in 5’s and 2’s. The total value is $116. How many 5 dollar bills does he

    Jack has 34 bills and coins in 5’s and 2’s. The total value is $116. How many 5 dollar bills does he have? Let the number of 5 dollar bills be f. Let the number of 2 dollar bills be t. We're given two equations: f + t = 34 5f + 2t = 116 We have a system of equations, which we can solve 3...
  10. math_celebrity

    A first number plus twice a second number is 3. Twice the first number plus the second totals 24.

    A first number plus twice a second number is 3. Twice the first number plus the second totals 24. Let the first number be x. Let the second number be y. We're given: x + 2y = 3 <-- Because twice means multiply by 2 2x + y = 24 <-- Because twice means multiply by 2 We have a system of...
  11. math_celebrity

    Tyrone re sells 3 pairs of Yeezys and a pair of Nikes for 250$. Nucci re sells a pair of Yeezys and

    Tyrone re sells 3 pairs of Yeezys and a pair of Nikes for 250$. Nucci re sells a pair of Yeezys and Nikes for 150$ How much does a pair of Yeezys cost? Let y be the cost of Yeezy's and n be the cost of Nike's. We're given two equations: 3y + n = 250 y + n = 150 We have a system of equations...
  12. math_celebrity

    Peter is buying office supplies. He is able to buy 3 packages of paper and 4 staplers for $40, or he

    Peter is buying office supplies. He is able to buy 3 packages of paper and 4 staplers for $40, or he is able to buy 5 packages of paper and 6 staplers for $62. How much does a package of paper cost? How much does a stapler cost? Let the cost of paper packages be p and the cost of staplers be s...
  13. math_celebrity

    A movie theater charges 7.00 for adults and 2.00 for seniors citizens. On a day when 304 people paid

    A movie theater charges 7.00 for adults and 2.00 for seniors citizens. On a day when 304 people paid for admission, the total receipt were 1118. How many who paid were adults ? How many were senior citizens? Let a be the number of adult tickets. Let s be the number of senior citizen tickets...
  14. math_celebrity

    Kevin and Randy Muise have a jar containing 52 coins, all of which are either quarters or nickels.

    Kevin and Randy Muise have a jar containing 52 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $6.20. How many of each type of coin do they have? Let q be the number of quarters, and n be the number of nickels. We have: n + q = 52 0.05n + 0.25q =...
  15. math_celebrity

    Half of a pepperoni pizza plus 3/4ths of a ham and pineapple pizza has 765 calories. 1/4th of a pepp

    Half of a pepperoni pizza plus 3/4ths of a ham and pineapple pizza has 765 calories. 1/4th of a pepperoni pizza and a whole ham and pineapple pizza contains 745 calories. How many calories are each of the 2 kinds of pizzas individually? Let p be the pepperoni pizza calories and h be the ham and...
  16. math_celebrity

    the sum of 2 numbers is 5. 5 times the larger number plus 4 times the smaller number is 37. Find the

    the sum of 2 numbers is 5. 5 times the larger number plus 4 times the smaller number is 37. Find the numbers Let the first small number be x. Let the second larger number be y. We're given: x + y = 5 5y + 4x = 37 We can solve this 3 ways, using the following methods: Substitution Method...
  17. math_celebrity

    Twice a first number decreased by a second number is 16. The first number increased by 3 times the s

    Twice a first number decreased by a second number is 16. The first number increased by 3 times the second number is 1. Find the numbers. Let the first number be x and the second number be y. We're given: 2x - y = 16 x + 3y = 1 Using our simultaneous equations calculator, you can solve this 3...
  18. math_celebrity

    A used book store also started selling used CDs and videos. In the first week, the store sold a comb

    A used book store also started selling used CDs and videos. In the first week, the store sold a combination of 40 CDs and videos. They charged $4 per CD and $6 per video and the total sales were $180. Determine the total number of CDs and videos sold Let c be the number of CDs sold, and v be...
  19. math_celebrity

    A test has twenty questions worth 100 points total. the test consists of true/false questions worth

    A test has twenty questions worth 100 points total. the test consists of true/false questions worth 3 points each and multiple choice questions worth 11 points each. How many true/false questions are on the test? Let m be the number of multiple choice questions and t be the number of true/false...
  20. math_celebrity

    A first number plus twice a second number is 11. Twice the first number plus the second totals 34. F

    A first number plus twice a second number is 11. Twice the first number plus the second totals 34. Find the numbers. Let the first number be x and the second number be y. We're given: x + 2y = 11 2x + y = 34 Using our simultaneous equations calculator, we have 3 methods to solve this...
Back
Top