Answer:
There are 72 crayons in the box
Step-by-step 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:
[tex]1-\frac{4}{9}=\frac{5}{9}[/tex]
From that portion, 65% are red, or equivalently, 35% are yellow.
We write 35% as a fraction:
[tex]\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}[/tex]
Thus, the portion of yellow crayons is:
[tex]\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}[/tex]
This fraction of x crayons is equal to 14, thus:
[tex]\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}[/tex]
x = 72
There are 72 crayons in the box
