The cost of 3 soup cans and 2 pizzas is $45. The cost of 5 soup cans and 3 pizzas is $71. What is the cost of a pizza and a soup can?

1 Answer
May 1, 2018

:. y = 12

:. x = 7

Explanation:

Assume soup cans = x
Assume pizzas = y

3x + 2y = 45
5x + 3y = 71

Solve this type of question by using substitution.

E.Q.N 3 => x = (45 - 2y) /3

Substitute E.Q.N 3 into 5x + 3y = 71

=> 5 * (45-2y)/3 + 3y = 71

Multiply whole E.Q.N by 3 to make it easier to solve.

=> 225-10y + 9y =213

:. y = 12

When y=12,

=> 3x +2(12) = 45

=> 3x = 21

:. x = 7

Check to see if your answer is correct by substituting both the values found.

3(7) + 2(12) = 45

5(7) + 3(12) = 71