Question

lynn has a box of crayons 4/9 of the crayons are blue 65% of the remaining crayons are red, while 14 crayons are pink.
What is the total number of crayons in that box.

Answer 1

The total number of crayons in that box is 72.

Step-by-step explanation:

Given:

Lynn has a box of crayons 4/9 of the crayons are blue 65% of the remaining crayons are red, while 14 crayons are pink.

Now, to find the total number of crayons in the box.

Let the total number of crayons in the box be $x.$

So, blue crayons = $\frac{4}{9} \ of\ x=\frac{4x}{9}$

Remaining crayons = $x-\frac{4x}{9}=\frac{5x}{9}$

And, red crayons = $65\%\ of\ \frac{5x}{9}$

$=\frac{65}{100}\times \frac{5x}{9} \\\\=0.65\times \frac{5x}{9} \\\\=\frac{3.25x}{9}$

While pink crayons = 14.

Now, to get the total number of crayons:

$\frac{4x}{9} +\frac{3.25x}{9} +14=x$

$\frac{4x+3.25x}{9} +14=x$

$\frac{7.25x}{9}-x=-14$

$\frac{7.25x-9x}{9} =-14$

$\frac{-1.75x}{9} =-14$

$\frac{1.75x}{9} =14$

$1.75x=126$

$x=72.$

Therefore, the total number of crayons in that box is 72.