I Lf Gx=2x+2 And Fgx=8x+13 , Find Fx. - Gauthmath

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Question

2/3 of Mina's stickers was equal to 5/8 of Salim's stickers. After Mina gave 1/6 of 2/7 her stickers to Salim, and Salim received 22 stickers from his friend, Mina had the total number of stickers. How many stickers did Mina have in the end?SHOW LESS0

Solution

B. $$\frac{56}{5}$$.

Step 1: Let the number of Mina's stickers be M and Salim's stickers be S.

Step 2: According to the problem, $$\frac{2}{3}M = \frac{5}{8}S$$.

Step 3: After the exchange, Mina had $$\frac{5}{7}M$$ stickers and Salim had $$S + \frac{22}{8}$$ stickers.

Step 4: Since Mina had the total, $$\frac{5}{7}M = S + \frac{22}{8}$$.

Step 5: Solve for M: $$M = \frac{56}{5}$$.

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