Question

Lynn has a box of crayons.

4/9 of the crayons are blue
65% of the remaining crayons are red.
The other 14 crayons are yellow.
How many crayons are in the box altogether?​

Answer 1

There are 72 crayons in the box

Explanation:

Fractions

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-(4)/(9)=(5)/(9)`

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

We write 35% as a fraction:

`\displaystyle 35\%=(35)/(100)=(7)/(20)`

Thus, the portion of yellow crayons is:

`\displaystyle (7)/(20)\cdot (5)/(9)=(7)/(36)`

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

`\displaystyle x=(14)/((7)/(36))=14\cdot(36)/(7)`

x = 72

There are 72 crayons in the box