Ken gave 111 stickers to his brother. He used 3/8 of the remaining stickers to decorate a birthday card. Given that 1/9 of his original number of stickers was left, how many stickers did Ken have at first?

swagmastercaillou Jun 5, 2021

#1**+2 **

Let x = the number of stickers Ken had at first.

Thus, using the word question's information, we have the number of stickers Ken has after giving stickers to his brother as x-111, and the number of stickers Ken has after using the remaining stickers on his birthday card as 5/8(x-111). This expression equals 1/9 of the original, so we have \(\frac{5}{8}(x-111)=\frac{1}{9}x\).

Solving, we have x = 135 original stickers.

EnchantedLava68 Jun 5, 2021

#1**+2 **

Best Answer

Let x = the number of stickers Ken had at first.

Thus, using the word question's information, we have the number of stickers Ken has after giving stickers to his brother as x-111, and the number of stickers Ken has after using the remaining stickers on his birthday card as 5/8(x-111). This expression equals 1/9 of the original, so we have \(\frac{5}{8}(x-111)=\frac{1}{9}x\).

Solving, we have x = 135 original stickers.

EnchantedLava68 Jun 5, 2021