Two cooks purchased plates and cups at the same store. The first cook bought 4 plates and 5 cups for a total of $25.25. The seco
nd cook bought 7 plates and 3 cups for a total of $25.50.
What is the price of a plate?
1 answer:
Let p represent the quantity of plates
Let c represent the quantity of cups
Cook 1: 4p + 5c = 25.25
Cook 2: 7p + 3c = 25.50
Use elimination method to solve:
-3(4p + 5c = 25.25) → -12p -15c = -75.75
5(7p + 3c = 25.50) → 35p +15c = 127.50
Add the equations: 23p + 0c = 51.75
Divide by 23 to solve for p: p = 2.25
Answer: the cost of plate is $2.25
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