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.