Nancy joined a school band .she bought 4 violins at 87.82 per violin and 2 song books

Mathematics

1 answer:

tatiyna3 years ago

3 0

Answer:

$32.80

Step-by-step explanation:

Find out how much Nancy spent on 4 violins and 2 song books.

1 violin = 87.82

4 violins = 87.82 x 4 = 351.28

1 song book = 7.96

2 song books = 7.96 x 2 = 15.92

351.28 + 15.92 = 367.20

4 x 100 dollar bills = 400 dollars

Normally after paying for an item, if you pay much more money than the actual price of the item, you'll get some money back from the cashier. That's called a change.

400 - 367.20 = 32.80

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Explanation:

Let's start off converting the mixed number 12 & 1/4 to an improper fraction.

$a \frac{b}{c} = \frac{a*c+b}{c}\\\\12 \frac{1}{4} = \frac{12*4+1}{4}\\\\12 \frac{1}{4} = \frac{49}{4}\\\\$

Do the same for the other mixed number 2 & 1/3.

$a \frac{b}{c} = \frac{a*c+b}{c}\\\\2 \frac{1}{3} = \frac{2*3+1}{3}\\\\2 \frac{1}{3} = \frac{7}{3}\\\\$

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From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.

$\frac{49}{4} \div \frac{7}{3} = \frac{49}{4} \times \frac{3}{7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{49\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 7\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 3}{4}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{21}{4}\\\\$