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 [tex]\frac{x}{y} = \frac{8}{7}[/tex], that is: [tex]7x = 8y[/tex], or [tex]x = \frac{8y}{7}[/tex]
After Miki gave Ken 18 of her stickers, they had the same number of stickers.
This means that:
[tex]x - 18 = y + 18[/tex]
[tex]x - y = 36[/tex]
Since [tex]x = \frac{8y}{7}[/tex]
[tex]\frac{8y}{7} - y = 36[/tex]
[tex]\frac{8y}{7} - \frac{7y}{7} = 36[/tex]
[tex]\frac{y}{7} = 36[/tex]
[tex]y = 36*7 = 252[/tex]
And
[tex]x - y = 36[/tex]
[tex]x = 36 + y = 36 + 252 = 288[/tex]
Miki had 288 stickers and Ken had 252 stickers.
