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yan [13]
3 years ago
15

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?
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
5 0
X=number of plates
y=number of cups

4x+5y=25.25

7x+3y=25.50

Add the two equations together:

11x+8y=50.75
11x=50.75-8y

x=\frac{50.75-8y}{11}

Plug x into the first equation:
4x+5y=25.25

4( \frac{50.75-8y}{11} ) = 25.25 

\frac{4(50.75-8y)}{11} = 25.25

\frac{203-32y}{11} = 25.25

203-32y = 277.75

-32y=74.75
32y=-74.45
y=2.34 (rounded to nearest hundredth)

The price of a plate is $2.34
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