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?

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Answer 1 · 2018-05-01T12:03:37

#:. y = 12#

#:. x = 7#

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# √