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

s = salad, f = fruit bowl, x = sandwiches

s + f + 2x = 12 (Bishop family)
2s + 2x = 14 (Cortez family)
s + 3x = 14 (Donovan family)

2s + 2x = 14
s + 3x = 14....multiply by -2
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2s + 2x = 14
-2s - 6x = -28 (result of multiplying by -2)
---------------add
-4x = -14
x = -14/-4
x = 3.50....cost of a sandwich

s + 3x = 14
s + 3(3.50) = 14
s + 10.50 = 14
s = 14 - 10.50
s = 3.50 ....cost of a salad

s + f + 2x = 12
3.50 + f + 2(3.50) = 12
3.50 + f + 7 = 12
10.50 + f = 12
f = 12 - 10.50
f = 1.50 <==== cost of a fruit bowl