112k views
4 votes
Candice operates a hot dog stand. on wednesday she used 8 5/6 bags of hot dog buns. on thursday she used 5/6 as many hot dog buns as on wednesday. how many bags of hot dog buns did candice use on thursday?

1 Answer

2 votes

Final answer:

Candice used 8 5/6 bags of hot dog buns on Wednesday and 5/6 of that amount on Thursday. To find the quantity used on Thursday, the mixed number is converted to an improper fraction and then multiplied by 5/6, resulting in 7 13/36 bags.

Step-by-step explanation:

Candice operates a hot dog stand and used 8 5/6 bags of hot dog buns on Wednesday. To find out how many bags of hot dog buns she used on Thursday, which is 5/6 as many as on Wednesday, we first need to convert the mixed number into an improper fraction. So, 8 5/6 is equivalent to (8 × 6 + 5)/6, that is 53/6. We then multiply 53/6 by 5/6 to find out how many bags she used on Thursday.

Step 1: Convert mixed number to improper fraction: 8 5/6 = 53/6

Step 2: Multiply by 5/6: (53/6) × (5/6) = 265/36

Step 3: Simplify the result: Because 265/36 can be reduced to a mixed number by dividing the numerator by the denominator, we get 7 13/36 bags.

Therefore, Candice used 7 13/36 bags of hot dog buns on Thursday.

User SaravananArumugam
by
7.5k points