Question

Fatima is preparing food parcels to give to charity. She has 252 tins of beans, 168 chocolate bars and 294 packets of soup. Each food parcel must contain the same, and there must be nothing left over. What is the greatest number of parcels she can prepare, and what will be in each parcel?​

Answer 1

Answer: 42 parcels total.

each parcel contains 6 tins of beans in each parcel, 4 chocolate bars, and 7 packets of soup.

Answer 2

The number of packages is 42.

The contents of each package is 4 chocolate bars, 6 tins of beans, 7 packets of soup.

Explanation:

We need to find the greatest common factor (GCF) of the three numbers to find the number of packages.

168 = 2³ × 3 × 7

252 = 2² × 3² × 7

294 = 2 × 3 × 7²

GCF = 2 × 3 × 7 = 42

The number of packages is 42.

168/42 = 4

252/42 = 6

294/42 = 7

The contents of each package is 4 chocolate bars, 6 tins of beans, 7 packets of soup.