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

Answer=64 cherries

raspberries:blueberries:grapes:cherries
a ratio where b=blueberries can be made....
2b:b:3(4(2b)):4(2b)
2b:b:24b:8b
substitute b for 1
raspberries:blueberries:grapes:cherries
2:1:24:8

2+1+24+8=35
280/35=8
8*2=16 raspberries
8*1=8blueberries
8*24=192grapes
8*8=64cherries