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$\frac{3}{7}$ of his pokemon cards give to his little brother and had $24$ cards left. How many cards did his little brother receive? $\newline$

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Scale drawings: word problems

Full solution

Q.

\frac{3}{7}

of his pokemon cards give to his little brother and had

24

cards left. How many cards did his little brother receive?

\newline

Determine total cards initially: Determine the total number of cards Zack had initially. $\newline$ Reasoning: Zack gave away $(3/7)$ of his cards and had $24$ left, which represents $(4/7)$ of the total. $\newline$ Calculation: Let total cards $= x$ . Then, $(4/7)x = 24$ . Solve for $x$ : $x = 24 \times (7/4) = 42$ .
Calculate brother's cards received: Calculate the number of cards Zack's little brother received. $\newline$ Reasoning: The brother received $(\frac{3}{7})$ of the total cards. $\newline$ Calculation: $(\frac{3}{7}) \times 42 = 18$ .

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