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Virty [35]
3 years ago
5

Lynn has a box of crayons.

Mathematics
1 answer:
Scrat [10]3 years ago
7 0

Answer:

<em>There are 72 crayons in the box</em>

Step-by-step explanation:

<u>Fractions</u>

To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.

Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

1-\frac{4}{9}=\frac{5}{9}

From that portion, 65% are red, or equivalently, 35% are yellow.

We write 35% as a fraction:

\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}

Thus, the portion of yellow crayons is:

\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}

This fraction of x crayons is equal to 14, thus:

\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}

x = 72

There are 72 crayons in the box

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