Solve the problem. A baker used 423 packages of raisins when he was making muffins. Each package contained 514 pounds of raisins. How many p

Question

Solve the problem. A baker used 423 packages of raisins when he was making muffins. Each package contained 514 pounds of raisins. How many pounds of raisins did the baker use? Enter your answer in simplest mixed number form.

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    2021-10-14T21:07:11+00:00

    Number of packages of raisins used = 4\frac{2}{3}.

    Number of pounds of raisins in each package = 5\frac{1}{4} pounds.

    Total number of pounds of raisins in 4\frac{2}{3} packages of raisins =  

    4\frac{2}{3}\times5\frac{1}{4}.

    \mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 4\frac{2}{3}=\frac{14}{3}

    \mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 5\frac{1}{4}=\frac{21}{4}

    4\frac{2}{3}\times \:5\frac{1}{4} =\frac{14}{3}\times \frac{21}{4}

    =\frac{49}{2}

    =24\frac{1}{2}

    Therefore , the baker used 24\frac{1}{2} pounds of raisin.

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