Question

A fruit salad consists of blueberries, raspberries, grapes, and cherries. The fruit salad has a total of 280 pieces of fruit. There are twice as many raspberries as blueberries, three times as many grapes as cherries, and four times as many cherries as raspberries. How many cherries are there in the fruit salad?

Answer 1

Let no of blueberries be x
2 x bluberries = total raspberries
So raspberries = 2x
Cherries= 4 x raspberries so
Cherries = 8 x
Grapes = 3x cherries so
Grapes = 24x

Total fruit is equal to
X+2x+24x+8x=280
35x=280
Therefore X= 280/35=8

No of cherries in the salad
=8x
=8(8)
=64 cherries in total

Hope this helped and sorry I used shortcuts
Hope u understand