The marching band is selling candy bars and fruit snacks for a fundraiser. Candy bars are sold for $2.50 and fruit snacks are $1.50. A total of 650 items were sold, bringing in $1,195. How many candy bars were sold?

Question

Mathematics

Stanley

13 May, 19:27

The marching band is selling candy bars and fruit snacks for a fundraiser. Candy bars are sold for $2.50 and fruit snacks are $1.50. A total of 650 items were sold, bringing in $1,195. How many candy bars were sold?

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Answers (1)

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Katrina Novak · Answer 1

220 candy bars

Step-by-step explanation:

Let the number of candy bars sold=c

Let the number of fruit snacks sold=f

A total of 650 items were sold.

Therefore: c+f=650

Candy bars are sold for $2.50

Fruit snacks are sold for $1.50

Total Income = $1,195

Therefore: 2.5c+1.5f=1195

We solve the resulting system of equation for c, the number of candy bars sold.

c+f=650 2.5c+1.5f=1195

From the first equation, f=650-c

Substitute f=650-c into 2.5c+1.5f=1195

2.5c+1.5 (650-c) = 1195

2.5c+975-1.5c=1195

Collect like terms

2.5c-1.5c=1195-975

c=220

Therefore, 220 candy bars were sold.