There are 280 pieces of fruit in a fruit salad. 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 :

Answer:

64 cherries

Step-by-step explanation:

Given that

There are 280 pieces of fruit in a fruit salad

There are twice as many raspberries as blueberries,

three times as many grapes as cherries,

and four times as many cherries as raspberries

We need to find out the number of cherries in the fruit salad

So,

Let us assume the blueberries be x

So, the raspberries be 2x

Cherries be 8x

And, grapes be 24x

Now

x + 2x + 24x + 8x = 280

35x = 280

x = 8

hence, the No of cherries in the salad

= 8 x

= 8(8)

= 64 cherries