Question

Matthew made a fruit salad, in which the ratio of blueberries to red grapes is 8:6. If Matthew used 36 red grapes and the rest were blueberries. How many pieces of fruit are in Matthew’s fruit salad? [Type your answer as a number.]

Answer 1

The answer is 84 in total , and there is a total of 48 blue berries .  

Answer 2

Answer: 84

Explanation:

Given : Matthew made a fruit salad, in which the ratio of blueberries to red grapes is 8:6.

It can be written as
`(8)/(6)` (1)

Matthew used 36 red grapes and the rest were blueberries.

Let x be the number of blueberries.

Then, the ratio of blueberries to red grapes =
`(x)/(36)` (2)

Now, from (1) and (2) , we have

`(8)/(6)=(x)/(36)\\\\\Rightarrow\ x=(36*8)/(6)\\\\\Rightarrow\ x=48`

i.e. Number of blueberries =48

Thus, the number of pieces of fruit are in Matthew’s fruit salad =48+36=84

Hence, number of pieces of fruit are in Matthew’s fruit salad=84