Question

The ratio of the number of Miki's stickers to the number of Ken's

Answer 1

Answer:

Miki had 288 stickers and Ken had 252 stickers.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

Miki has x stickers.

Ken has y stickers.

The ratio of the number of Miki's stickers to the number of Ken's stickers was 8:7.

This means that $\frac{x}{y} = \frac{8}{7}$, that is: $7x = 8y$, or $x = \frac{8y}{7}$

After Miki gave Ken 18 of her stickers, they had the same number of stickers.

This means that:

$x - 18 = y + 18$

$x - y = 36$

Since $x = \frac{8y}{7}$

$\frac{8y}{7} - y = 36$

$\frac{8y}{7} - \frac{7y}{7} = 36$

$\frac{y}{7} = 36$

$y = 36*7 = 252$

And

$x - y = 36$

$x = 36 + y = 36 + 252 = 288$

Miki had 288 stickers and Ken had 252 stickers.