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Sliva [168]
3 years ago
9

mrs cindy had2/3 of a cake .she divided the cake equally among her 3 children. what fraction of the cake did each children get?

Mathematics
1 answer:
satela [25.4K]3 years ago
3 0
Each kid would get 2/9 of the cake
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Use the area of rectangle formula which is:

\displaystyle \large \tt{A = width \times length}

Given that:

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Substitute in the formula:

\displaystyle \large{16 = 8 \times (x - 5)} \\  \displaystyle \large{16 = 8(x - 5)}

Distribute 8 in the expression:

\displaystyle \large{16 = (8 \times x) + (8 \times ( - 5))} \\  \displaystyle \large{16 = 8x - 40}

Move -40 to another side and change from -40 to 40.

\displaystyle \large{16 + 40 = 8x} \\    \displaystyle \large{56= 8x} \\

Then move 8 to divide 56, leaving only x.

\displaystyle \large{ \frac{56}{8} = x} \\    \displaystyle \large{7 = x} \\

Hence, the answer is:

\displaystyle \large \boxed{x = 7} \\

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Step-by-step explanation:

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<span>2x=4
Divide 2 on both sides so that the only thing remaining on the left side is the variable x.
Final Answer: x = 2</span>
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