One-seventh 68434

It is given that 1 1/7 of the whole is 32. Determine what 2 1/4 of the total is.
(One whole and one-seventh, two whole and one quarter).

Correct answer:

x =  63

Step-by-step explanation:

$$\begin{gathered} a=1\frac{1}{7}=1+\frac{1}{7}=\frac{1\cdot 7+1}{7}=\frac{8}{7}\doteq 1.1429 \\ b=2\frac{1}{4}=2+\frac{1}{4}=\frac{2\cdot 4+1}{4}=\frac{9}{4}=2.25 \\ a\cdot c=32 \\ 1.1428571428571\cdot c=32 \\ 1.142857c=32 \\ c=28 \\ x=b\cdot c=2.25\cdot 28=63 \end{gathered}$$

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