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A chef has 4 1/2 quarts of soup and ladles out 3 servings, each requiring 5/8 quart. Which of the following describes the amount of soup remaining after the servings are taken?

Explanation	Calculations	Help
$We first name a variable for the chef's initial soup amount.$	$S_{initial} = 4 \frac{1}{2} quarts$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We convert the mixed number into an improper fraction.$	$4 \frac{1}{2} = \frac{4 \times 2 + 1}{2} = \frac{9}{2} quarts$
$We translate "each requiring \frac{5}{8} quart" into the amount of soup per serving.$	$s_{per serving} = \frac{5}{8} quarts$	Theory & Tactics Method Card TRANS2-B Click to view full details
$We calculate the total soup used for three servings.$	$S_{used} = 3 \times \frac{5}{8} = \frac{15}{8} quarts$
$We subtract the used soup from the initial amount to find the remaining soup.$	$S_{remaining} = \frac{9}{2} - \frac{15}{8} = \frac{36}{8} - \frac{15}{8} = \frac{21}{8} quarts$
$We convert the improper fraction to a mixed number to describe the remaining soup.$	$\frac{21}{8} = 2 \frac{5}{8} quarts$
$We see that the remaining amount matches the description in option E.$	$Answer E$

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E

A chef has 4 1/2 quarts of soup and ladles out 3 servings, each requiring 5/8 quart. Which of the following describes the amount of soup remaining after the servings are taken?

Explanation	Calculations	Help
$We first name a variable for the chef's initial soup amount.$	$S_{initial} = 4 \frac{1}{2} quarts$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We convert the mixed number into an improper fraction.$	$4 \frac{1}{2} = \frac{4 \times 2 + 1}{2} = \frac{9}{2} quarts$
$We translate "each requiring \frac{5}{8} quart" into the amount of soup per serving.$	$s_{per serving} = \frac{5}{8} quarts$	Theory & Tactics Method Card TRANS2-B Click to view full details
$We calculate the total soup used for three servings.$	$S_{used} = 3 \times \frac{5}{8} = \frac{15}{8} quarts$
$We subtract the used soup from the initial amount to find the remaining soup.$	$S_{remaining} = \frac{9}{2} - \frac{15}{8} = \frac{36}{8} - \frac{15}{8} = \frac{21}{8} quarts$
$We convert the improper fraction to a mixed number to describe the remaining soup.$	$\frac{21}{8} = 2 \frac{5}{8} quarts$
$We see that the remaining amount matches the description in option E.$	$Answer E$

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E