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# Fractions

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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?

Jun 5, 2021

#1
+179
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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.

Jun 5, 2021

#1
+179
+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
#2
+45
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Thx

..

swagmastercaillou  Jun 5, 2021