Question

Yesterday, Princes Hamburgers went through 8 1/2 bottles of ketchup. If they use 3/4 as much mustard as ketchup, how many bottles of mustard did they go through?

A) 6 3/8 bottles of mustard
B) 4 1/4 bottles of mustard
C) 9 1/4 bottles of mustard
D) 5 5/8 bottles of mustard

Answer 1

To find the amount of mustard used by Princes Hamburgers, multiply 8 1/2 bottles of ketchup by 3/4. The result is given in the mixed number 6 3/8, which represents the bottles of mustard used.

Step-by-step explanation:

The student's question involves calculating the amount of mustard used based on the amount of ketchup used by Princes Hamburgers. We know that the hamburgers place used 8 1/2 bottles of ketchup yesterday. To find out how many bottles of mustard they used, we need to calculate 3/4 of the ketchup quantity.

• First, convert 8 1/2 bottles of ketchup into an improper fraction: 8 1/2 = (8 × 2 + 1) / 2 = 17/2.
• Next, multiply the ketchup quantity by 3/4 to find the mustard quantity: (17/2) × (3/4) = (17 × 3) / (2 × 4) = 51/8.
• Finally, convert 51/8 into a mixed number to get the mustard quantity: 51 ÷ 8 = 6 with a remainder of 3, so 51/8 = 6 3/8 bottles of mustard.

The correct answer is Option A: 6 3/8 bottles of mustard.