If each pound of beef costs $2.51, how much does $4 \frac{1}{3}$ $4 1/3$ pound cost? Round to the nearest cent.

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If each pound of beef costs $2.51, how much does $4 \frac{1}{3}$ $4 1/3$ pound cost? Round to the nearest cent.

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Answer 1 · 2018-05-08T09:22:25

$$ 10.92$ $$10.92$

Explanation:

Using ratio in the format: $d cost : weight$ $color(white)("d")"cost : weight"$

$cost : weight d \to d $ 2.51 : 1$ $"cost : weight" color(white)("d") ->color(white)("d") $2.51 : 1$

But we need the $1^{l b}$ $1^(lb")$ to be $4 \frac{1}{3}^{l b}$ $4 1/3color(white)()^(lb)$

So multiply everything by $4 \frac{1}{3}$ $4 1/3$ giving:

$cost : weight d \to d $ 2.51 : 1 \to ($ 2.52 \times 4 \frac{1}{3}) : (1 \times 4 \frac{1}{3})$ $"cost : weight" color(white)("d") ->color(white)("d") $2.51 : 1 ->($2.52xx4 1/3) : (1xx4 1/3)$

$ddddddddddddddddddddd \to ddd $ 10.92 dd.d : ddd 4 \frac{1}{3}$ $color(white)("ddddddddddddddddddddd") ->color(white)("ddd")$10.92color(white)("dd.d") : color(white)("ddd")4 1/3$

The $$ 2.52 \times 4 \frac{1}{3}$ $$2.52xx4 1/3$ give an exact value to 2 decimal places
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There are 100 cents in $1 so rounding to the nearest cent is the second decimal place. Thus the answer is the whole of the calculated value of $$ 10.92$ $$10.92$

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If each pound of beef costs $2.51, how much does $4 \frac{1}{3}$ $4 1/3$ pound cost? Round to the nearest cent.

1 Answer

Explanation:

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If each pound of beef costs $2.51, how much does $4 \frac{1}{3}$ $4 1/3$ pound cost? Round to the nearest cent.