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.]

  84

Step-by-step explanation:

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

It can be written as    (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 =      (2)

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

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