Question

Andy, La Tasha, and Shannon go to a farm to pick cherries. Together, they pick 5 1/2 pounds of cherries. They will fill bags with all the cherries they pick until each bag weighs 3/4 pound. How many bags can they fill?

Answer 1

By dividing the total weight of the cherries (11/2 pounds) by the weight of each bag (3/4 pound), Andy, La Tasha, and Shannon can fill 7 full bags with the cherries they picked.

Step-by-step explanation:

Andy, La Tasha, and Shannon pick 5 1/2 pounds of cherries and want to know how many 3/4 pound bags they can fill. To find the answer, we divide the total weight of the cherries by the weight of each bag. We convert 5 1/2 pounds to an improper fraction, 11/2, and perform the division.

Here's the step-by-step calculation:

• Convert 5 1/2 pounds to an improper fraction: 5 1/2 = (5 × 2 + 1)/2 = 11/2 pounds
• Divide the total weight by the weight of one bag: (11/2)/ (3/4) pounds
• Multiply by the reciprocal of 3/4: (11/2) × (4/3) = 44/6
• Simplify the fraction: 44/6 = 7 1/3
• Since they can't fill a bag partially, they can only fill 7 whole bags

Therefore, they can fill 7 full bags of cherries.