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word problem

  1. math_celebrity

    The cost of renting a rototiller is $19.50 for the first hour and $7.95 for each additional hour. Ho

    The cost of renting a rototiller is $19.50 for the first hour and $7.95 for each additional hour. How long can a person have the rototiller if the cost must be less than $95? Setup the inequality: $19.50 + $7.95x < $95 Subtract 19.50 from both sides: 7.95x < 75.50 Divide each side of the...
  2. math_celebrity

    A local shop sold 499 hamburgers and cheese burgers. There were 51 fewer cheese burgers sold. How ma

    A local shop sold 499 hamburgers and cheese burgers. There were 51 fewer cheese burgers sold. How many hamburgers were sold? Let h = number of hamburgers sold and c be the number of cheeseburgers sold. We have two equations: (1) c = h - 51 (2) c + h = 499 Substitute (1) into (2) h - 51 + h =...
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    4 teaspons of vegetable oil and 6 teaspoons of vinegar. 20 teaspoons of vegetable oil to how many te

    4 teaspons of vegetable oil and 6 teaspoons of vinegar. 20 teaspoons of vegetable oil to how many teaspoons of vinegar? Set up a proportion where x is the number of teaspoons of vinegar in the second scenario: 4/6 = 20/x Plug that expression into the search engine to get x = 30
  4. math_celebrity

    There were 150 students at a dance. There were 16 more boys than girls. How many boys were there?

    Set up two equations: (1) b = g + 16 (2) b + g = 150 Substitute equation (1) into (2) (g + 16) + g = 150 Combine like terms 2g + 16 = 150 Subtract 16 from each side 2g = 134 Divide each side by 2 to isolate g g = 67 Substitute this into equation (1) b = 67 + 16 b = 83
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    A dad gave his 3 sons each the same amount of money in an envelope. He took $20 from one son for get

    A dad gave his 3 sons each the same amount of money in an envelope. He took $20 from one son for getting a D on a math test and he gave another son an extra $35 for doing extra chores. Combined, the sons had $81. Figure out how much each son had. Let x, y, and z be the money each son received...
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    Katie is twice as old as her sister Mara. The sum of their age is 24.

    Let k = Katie's age and m = Mara's age. We have 2 equations: (1) k = 2m (2) k + m = 24 Substitute (1) into (2) (2m) + m = 24 Combine like terms: 3m = 24 Divide each side of the equation by 3 to isolate m m = 8 If m = 8, substituting into (1) or (2), we get k = 16.
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    Company a charges $25 plus $0.10 a mile. Company b charges $20 plus $0.15 per mile. How far would yo

    Company a charges $25 plus $0.10 a mile. Company b charges $20 plus $0.15 per mile. How far would you need to travel to get each charge to be the same? Let x be the number of miles traveled Company A charge: C = 25 + 0.10x Company B charge: C = 20 + 0.15x Set up an equation find out when the...
  8. math_celebrity

    There are 4064 calories in 8 pints of strawberry icecream. How many calories are ther in each pint o

    There are 4064 calories in 8 pints of strawberry ice cream. How many calories are there in each pint of strawberry ice cream? Set up a proportion using x as the number of calories in 1 pint of ice cream. 4064/8 = x/1 Using our proportion calculator, we get: x = 508
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    If Mr hernandez has 5 times as many students as Mr daniels and together they have 150 students how m

    If Mr hernandez has 5 times as many students as Mr daniels and together they have 150 students how many students do each have? Let h = Mr. Hernandez's students and d = Mr. Daniels students. We are given two equations: (1) h = 5d (2) d + h = 150 Substitute equation (1) into equation (2) d +...
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    Gary has three less pets than Abe. If together they own 15 pets, how many pets does Gary own?

    Let g = Gary's pets and a = Abe's pets. We are given two equations: (1) g = a - 3 (2) a + g = 15 Substitute (1) into (2) a + (a - 3) = 15 Combine Like Terms: 2a - 3 = 15 Add 3 to each side: 2a = 18 Divide each side by 2 to isolate a: a = 9 --> Abe has 9 pets Substitute a = 9 into Equation...
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    There are 5 2/3 cups of milk. How many thirds are there?

    Convert the mixed fraction using the calculator to get 17/3.
  12. math_celebrity

    The length of a rectangular building is 6 feet less than 3 times the width. The perimeter is 120 fee

    The length of a rectangular building is 6 feet less than 3 times the width. The perimeter is 120 feet. Find the width and length of the building. P = 2l + 2w Since P = 120, we have: (1) 2l + 2w = 120 We are also given: (2) l = 3w - 6 Substitute equation (2) into equation (1) 2(3w - 6) + 2w =...
  13. math_celebrity

    There are 32 female performers in a dance recital. The ratio of men to women is 3:8. How many men ar

    There are 32 female performers in a dance recital. The ratio of men to women is 3:8. How many men are in the dance recital? 3:8 = x:32 3/8 = x/32 Cross multiply: 8x = 96 Divide each side by 8 x = 12 Check our work: 12:32 Divide each part by 4 12/4 = 3 and 32/4 = 8 so we have 3:8 :)
  14. math_celebrity

    Michelle and Julie sold 65 cupcakes. If Julie sold 9 more cupcakes than Michelle, how many cupcakes

    Michelle and Julie sold 65 cupcakes. If Julie sold 9 more cupcakes than Michelle, how many cupcakes did each of them sell? Let m = Michelle's cupcakes and j = Julie's cupcakes. We have two equations: m + j = 65 j = m + 9 Substituting, we get: m + (m + 9) = 65 Combine like terms, we get: 2m...
  15. math_celebrity

    Carmen is serving her child french fries and chicken wings for lunch today. Let f be the number of f

    Carmen is serving her child french fries and chicken wings for lunch today. Let f be the number of french fries in the lunch, and let c be the number of chicken wings. Each french fry has 25 calories, and each chicken wing has 100 calories. Carmen wants the total calorie count from the french...
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    There are 36 fishing worms per tin . How many worms in 7 tins

    36 worms/tin * 7 tins = 252 worms.
  17. math_celebrity

    67 less than twice tims age

    Let Tim's age be a. Twice that is 2a. 67 less than that means we subtract: 2a - 67
  18. math_celebrity

    Emily is three years older than twice her sister Mary’s age. The sum of their ages is less than 30.

    Emily is three years older than twice her sister Mary’s age. The sum of their ages is less than 30. What is the greatest age Mary could be? Let e = Emily's age and m = Mary's age. We have the equation e = 2m + 3 and the inequality e + m < 30 Substitute the equation for e into the inequality...
  19. math_celebrity

    3 pound bag for $11.25

    We need to find the unit cost, which is the cost of one unit of measurement. The measurement unit is in pounds. If it costs $11.25 for a 3 pound bag, how much is it per pound? $11.25/3 = $3.75 per pound.
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