SOLUTION: Three pizzas and four sandwiches cost $34. Three pizzas and seven sandwiches cost $41.50. How much does a pizza and a sandwich cost?

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Question 1173370: Three pizzas and four sandwiches cost $34. Three pizzas and seven sandwiches cost $41.50. How much does a pizza and a sandwich cost?
Found 2 solutions by ewatrrr, math_helper:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Let x be a pizza's cost and y the sandwich cost
3x + 4y = $34
3x + 7y = $41.50
Multiply 1st EQ by -1 to eliminate x
-3x - 4y = -34
3x + 7y = 41.50
3y = 7.50
y = $2.50 and x = $8.00
Checking our answer
3x + 7y = $41.50 = $24 + $17.50
Wish You the Best in your Studies.

Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

3P + 4S = 34
3P + 7S = 41.50
----------------
3S = 7.50 << subtracted 1st eqn from 2nd eqn
S = 2.50 --> P = 8.00

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