Question

Dennis has 30 plums and 42 apricots. He wants to put the fruit in bags so that each bag has the same number of like fruit.

If Dennis wants to make baskets of fruit sells plums in bags of 12 and apricots in bags of 8, what is the minimum amount of baskets we can make if they are identical?

Please help this due tommorow for me. Thank you!

Answer 1

Dennis has 30 plums and 42 apricots. He wants to put the fruit in bags so that each bag has the same number of like fruit.

To find equal number of the fruits in the bag = HCF of 30 & 42
= 6

Each bag contains 6 fruits, So number of bags are required =
`(30+42)/(6)`
=
`(72)/(6)`
= 12 bags

Dennis wants to make baskets of fruit sells plums in bags of 12 and apricots in bags of 8

Bag 1 Contain 12 plums
Bag 2 Contains 12 plums
Bag 3 contains 6 plums
Bag 4 contains 8 apricots
Bag 5 contains 8 apricots
Bag 6 contains 8 apricots
Bag 7 contains 8 apricots
Bag 8 contains 8 apricots
Bag 9 contains 2 apricots

Therefore, 9 bags are required.