Answer: 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 [tex]\dfrac{8}{6}[/tex] (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 =[tex]\dfrac{x}{36}[/tex] (2)
Now, from (1) and (2) , we have
[tex]\dfrac{8}{6}=\dfrac{x}{36}\\\\\Rightarrow\ x=\dfrac{36\times8}{6}\\\\\Rightarrow\ x=48[/tex]
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
