Question

Fred has 36 strawberries and 42 blueberries. He wants to use them to garnish desserts so that each dessert has the same number of berries, but only one type of berry. He wants as much fruit as possible on each dessert. How many berries will be on each dessert? How many desserts with each type of fruit will he have?

Answer 1

6 berries on each dessert, 6 desserts of strawberries, 7 desserts of blueberries

Answer 2

There are 6 fruits in each dessert,

6 strawberry desserts and 7 blueberry desserts.

Explanation:

Given,

The number of strawberries = 36,

Blueberries = 42,

∵ Each desserts of berries has the same number of berries but only one type of berries,

So, the number of fruits( either strawberry or blueberry ) in each dessert = HCF(36, 42)

= 6,

Now, the number of strawberry desserts

`=\frac{\text{Total strawberries}}{\text{strawberries in each dessert}}`

`=(36)/(6)`

= 6,

Similarly, the number of blueberries desserts =
`(42)/(6)` = 7.