If 3a+5b = 98 and a=11, what is the value of a +b
a = 11:
3(11) + 5b = 98
33 + 5b = 98
Using our equation solver, we get:
b = 13
a + b = 11 + 13
a + b = 24
A farmer has a total of 200 ducks and cows in his barn. If he has n cows, how many total legs are there in the barn? (Make sure you include the farmer.)
Number of cows = n
Legs per cow = 4
Cows legs = 4n
Number of ducks = 200 - n
Legs per duck = 2
Number of ducks legs = (200 - n) x 2 = 400 -...
There are cows and chickens in a barn along with a three-legged dog named Tripod. If there are twice as many chickens as cows, how many legs are there in the barn. (Call the number of cows n.)
Number of cows = n
Number of cows legs = 4n
Number of chickens = 2n
Number of chicken legs = 2*2n =...
Jon earned money baby-sitting. He spent 1/4 of the money on a guitar and then he gave 1/4 of what was left to charity. If he has $108 left, how much money did he start with?
Calculate initial spend:
Charity = 1/4 * 3/4 left = 3/16
1/4 + 3/16 = 7/16
This means he has 1 = 7/16 left
16/16 - 7/16 =...
When Mike uses a riding mower, it takes him 3 hours to mow his lawn. When he uses a push mower, it takes him 6 hours to mow the lawn. (His sister also can mow the lawn with the push mower in 6 hours.). Mike wanted to get the lawn mowed as quickly as possible, so he paid his sister $10 to mow...
Kyle got 3 shirts on his birthday. He had already 5 shirts.how many shirts does he have?
He started with 5 shirts:
5
He got 3 more shirts, which means we add:
5 + 3 = 8 shirts
Bob ordered a burger and fries for $8.99. He also got a coke for $1.50. What is his subtotal?
Subtotal = Burger and fries + Coke
Subtotal = 8.99 + 1.50
Subtotal = 10.49
Jessie had 8 apples. Katie had 3 more. How many apples does Katie have
3 more means we add to Jessie's total:
Katie = Jessie + 3
Katie = 8 + 3
Katie = 11
jimmy has 5 apples and beth has 8 apples how many apples do they have together
The word together means we add:
Total Apples = Jimmy's apples + Beth's apples
Total Apples = 5 + 8
Total Apples = 13
If EF = 9x - 17, FG = 17x - 14, and EG = 20x + 17, what is FG?
By segment addition, we know that:
EF + FG = EG
Substituting in our values for the 3 segments, we get:
9x - 17 + 17x - 14 = 20x + 17
Group like terms and simplify:
(9 + 17)x + (-17 - 14) = 20x - 17
26x - 31 = 20x - 17
Solve for x...
If EF = 7x , FG = 3x , and EG = 10 , what is EF?
By segment addition:
EF + FG = EG
7x + 3x = 10
To solve this equation for x, we type it in our search engine and we get:
x = 1
Evaluating EF = 7x with x = 1, we get:
EF = 7 * 1
EF = 7
A bus usually takes 25 minutes. Because of traffic the trip took 7 minutes longer. How long did the trip take?
The word longer means we add, so we have:
25 + 7 = 32 minutes
Ariel was playing basketball. 1 of her shots went in the hoop. 2 of her shots did not go in the hoop. How many shots were there in total?
Total shots = Shots made + shots missed
Total shots = 1 + 2
Total shots = 3
There are 3,742,450 men, 3,177,805 women and 21,508 children in a village. Find the total population of the village.
Total population = Men + Women + Children
Total population = 3,742,450 + 3,177,805 + 21,508
Total population = 6,941,763