Question

nathan is a waiter at the firebird diner. each of the 7 booths at the diner has a bottle of the diners famous hot sauce. the graph shows how much hot sauce is left in each bottle. amount of hot sauce if nathan distributes all of the hot sauce equally among the 7 bottles, how much will be in each bottle? 1/2 cup 5/7 cup 1 cup 1 2/5 cups

Explanation:

Step1: Count amounts in each category

There are 2 bottles with 0 cups, 1 bottle with $\frac{1}{2}$ cup, 3 bottles with 1 cup, and 1 bottle with $1\frac{1}{2}$ cups.

Step2: Calculate total amount of hot - sauce

Total amount = $2\times0 + 1\times\frac{1}{2}+3\times1 + 1\times1\frac{1}{2}$
$=0+\frac{1}{2}+3+\frac{3}{2}$
$=\frac{1 + 3}{2}+3$
$=2 + 3=5$ cups.

Step3: Divide total by number of bottles

Amount per bottle = $\frac{5}{7}$ cup since we divide the total 5 cups among 7 bottles.

Answer:

$\frac{5}{7}$ cup