Question

The school band director has a budget $4,428.00 to spend on the band room, instruments, music, and uniforms. There are four sections in the band: drum corps, woodwinds, horns, and color guard. She has received three offers. Option 1. Repair and replace uniforms at $564.00 per section and spend $182.00 on music. Option 2. Repair and replace uniforms at $593.00 per section and spend $78.00 on music. Option 3. Repair uniforms at $287.00 per section, spend $856.00 for improving the acoustics in the band room, and spend $422.00 on music and repairing instruments. The remainder of the money will be split evenly among the four sections for additional costs. Match each option with the amount of money each section will receive for additional costs.

Answer 1

The amount of money left for each section to spend from the budget in additional costs if they follow exact of the options is

Option 1 - $497.5

Option 2 - $494.5

Option 3 - $500.5

The image to show the amounts to match to isn't attagged to the question, but these are the answers and they should be matched accordingly.

Explanation:

We first calculate the amount left per section after following each of the options.

Budget $4,428.00

Option 1.

Repair and replace uniforms at $564.00 per section and spend $182.00 on music.

There are 4 sections, hence, total amount spent in this option:

4(564) + 182 = $2438

Amount of money left from the budget after spending = 4428 - 2438 = $1990

Amount left per section = (1990/4) = $497.5

Option 2

Repair and replace uniforms at $593.00 per section and spend $78.00 on music.

There are 4 sections, hence, total amount spent in this option:

4(593) + 78 = $2450

Amount of money left from the budget after spending = 4428 - 2450 = $1978

Amount left per section = (1978/4) = $494.5

Option 3

Repair uniforms at $287.00 per section, spend $856.00 for improving the acoustics in the band room, and spend $422.00 on music and repairing instruments.

There are 4 sections, hence, total amount spent in this option:

4(287) + 856 + 422 = $2426

Amount of money left from the budget after spending = 4428 - 2426 = $2002

Amount left per section = (2002/4) = $500.5