Mathematics: The ratio of the number of Miki s stickers to the number of Ken s stickers was 8:7. After Miki gave Ken 18 of her stickers, they had the same number of stickers. How many stickers did they have in all?

i dkStep-by-step explanation:...

The ratio of the number of Miki s stickers to the

YoungKukie24

24.07.2021

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.

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