At a cafe, the bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. the cortez family pays $14 for two salads and two sandwiches. the donovan family pays $14 for a salad and three fruit bowls. what is the price of a fruit bowl at the cafe?

The price of a fruit bowl at the cafe is $3

Step-by-step explanation:

Let

x > the price of a salad

y > the price of a fruit bowl

z > the price of a sandwich

we know that

Bishop family

x+y+2z=12 > equation A

Cortez family

2x+2z=14

Simplify

x+z=7

z=7-x > equation B

Donovan family

x+3y=14 > equation C

Substitute equation B in equation A

x+y+2(7-x)=12

x+y+14-2x=12

y-x=-2 > equation D

Solve the system of equations C and D by elimination

x+3y=14 > equation C

y-x=-2 > equation D

Adds equation C and equation D

3y+y=14-2

4y=12

y=3

therefore

The price of a fruit bowl at the cafe is $3

The price of a fruit bowl at the cafe is $3.00.

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step-by-step explanation:

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step-by-step explanation: