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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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Answer:

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.

The number of candy bars sold is 220.

System of equations

In order to determine the number of candy bars sold, two simultaneous equations would be formed from the question.

2.50a + 1.50b = 1195 equation 1

a + b = 650 equation 2

Where:

  • a = number of candy bars sold
  • b = number of fruit snacks sold

Solving for the number of candy bars sold

In order to determine the number of candy bars sold, take the following steps:

Multiply equation 2 by 1.5

1.5a + 1.5b = 975 equation 3

Subtract equation 3 from 1

220 = a

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552