Question

At Snack Palace, the Bishop family pays $12 for a salad, 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 Snack Palace?

Answer 1

A.$2
B.$3
C.$4
D.$5

The answer is B.

Answer 2

Answer:

Cost of the one fruit bowl is $3 .

Step-by-step explanation:

Let us assume that the cost of salad be x .

Let us assume that the cost of fruit bowl is y .

Let us assume that the cost of the sandwiches is z .

As given

At Snack Palace, the Bishop family pays $12 for a salad, fruit bowl, and two sandwiches.

Equation becomes

x + y + 2z = 12

The Cortez family pays $14 for two salads and two sandwiches.

Equation becomes

2x + 2z = 14

Simplify the above

x + z = 7

The Donovan family pays $14 for a salad and three fruit bowls.

Equation becomes

x + 3y = 14

Thus three equations are

x + y + 2z = 12

x + z = 7

x + 3y = 14

Multiply x + z = 7 by 2 and subtracted from x + y + 2z = 12.

x -2x + y + 2z -2z = 12 - 14

-x + y = -2

Add the equations -x + y = -2  and x + 3y = 14 .

Add both the above equations

x -x + 3y + y = 14 -2

4y = 12

$y = \frac{12}{4}$

y = $3

Therefore the cost of the one fruit bowl is $3 .