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A store collected 10 and 1/5 pounds of donated cans on Monday and 7 and 8/10 pounds of donated cans on Tuesday. They decided to split the cans into boxes of 6 pounds each. How many boxes do they need?

A) 5 boxes
B) 4 boxes
C) 6 boxes
D) 7 boxes

User Shinobu
by
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1 Answer

4 votes

Final answer:

To split the donated cans into 6-pound boxes, the store needs 4 boxes.

Step-by-step explanation:

To determine how many boxes are needed to split the donated cans into 6-pound boxes, we need to find the total weight of the cans collected on Monday and Tuesday.

On Monday, the store collected 10 and 1/5 pounds of cans. To convert this to a mixed number, we can multiply the whole number (10) by the denominator of the fractional part (5) and add the numerator (1).

10 and 1/5 pounds is equivalent to 10 + 1/5 = 51/5 pounds.

On Tuesday, the store collected 7 and 8/10 pounds of cans. Similarly, we can convert this to a mixed number: 7 and 8/10 = 7 + 8/10 = 7 + 4/5 = 7 + 4/4 = 7 + 1 = 8.

The total weight of the cans collected over the two days is: 51/5 + 8 = 51/5 + 40/5 = 91/5 pounds.

To find the number of boxes needed, we divide the total weight by the weight of each box.

91/5 ÷ 6 = (91 ÷ 5) ÷ 6 = 18.2 ÷ 6 = 3.03 (rounded to the nearest whole number).

Therefore, the store needs 4 boxes to hold the donated cans.

User Marte
by
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