Leander Band Boosters are covering props with vinyl for the marching band to use during their
performance. It takes square feet of vinyl to cover one prop. If they have six props to cover and
have a roll of square feet of the vinyl, how much vinyl will be left?
Must show your work

Ask by Brooks Lane. in the United States

Mar 31,2025

Question

Leander Band Boosters are covering props with vinyl for the marching band to use during their
performance. It takes square feet of vinyl to cover one prop. If they have six props to cover and
have a roll of square feet of the vinyl, how much vinyl will be left?
Must show your work

Ask by Brooks Lane. in the United States

Mar 31,2025

UpStudy AI · Accepted Answer

Let the amount of vinyl needed for one prop be 
$$
11\frac{1}{8} \text{ square feet}.
$$
First, convert this mixed number to an improper fraction:
$$
11\frac{1}{8} = \frac{11 \times 8 + 1}{8} = \frac{88 + 1}{8} = \frac{89}{8}.
$$

The vinyl needed for six props is:
$$
6 \times \frac{89}{8} = \frac{6 \times 89}{8} = \frac{534}{8}.
$$
Simplify this fraction by dividing numerator and denominator by 2:
$$
\frac{534}{8} = \frac{267}{4}.
$$

Next, convert the total vinyl available, given as 
$$
70\frac{3}{4} \text{ square feet},
$$
to an improper fraction:
$$
70\frac{3}{4} = \frac{70 \times 4 + 3}{4} = \frac{280 + 3}{4} = \frac{283}{4}.
$$

Now, subtract the vinyl used from the vinyl available:
$$
\frac{283}{4} - \frac{267}{4} = \frac{283 - 267}{4} = \frac{16}{4}.
$$
Simplify the fraction:
$$
\frac{16}{4} = 4.
$$

Thus, the amount of vinyl left is 
$$
\boxed{4 \text{ square feet}}.
$$
There will be 4 square feet of vinyl left.

Leander Band Boosters are covering props with vinyl for the marching band to use during their
performance. It takes square feet of vinyl to cover one prop. If they have six props to cover and
have a roll of square feet of the vinyl, how much vinyl will be left?
Must show your work

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Leander Band Boosters are covering props with vinyl for the marching band to use during their performance. It takes square feet of vinyl to cover one prop. If they have six props to cover and have a roll of square feet of the vinyl, how much vinyl will be left? Must show your work

Solución de inteligencia artificial de Upstudy

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Solución

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preguntas relacionadas

Latest Arithmetic Questions

Leander Band Boosters are covering props with vinyl for the marching band to use during their
performance. It takes square feet of vinyl to cover one prop. If they have six props to cover and
have a roll of square feet of the vinyl, how much vinyl will be left?
Must show your work