Question

A variety pack of chocolates contains chocolate candies with different fillings. one eighth of the candy has coconut filling, 5/16 of the chocolates have peanut butter filling,5/32 of the chocolates have orange cream filling. the rest of the candy is filled with chocolate cream. there are 8 candies with coconut filling. How many candies have chocolate cream filling?, what percent of the candy has peanut butter filling?,what fraction of the candy is orange or chocolate cream?

Answer 1

Answer : the number of candies having chocolate cream filling
`=26`

Percent of candy has peanut butter filling = 31.25%

Fraction of candy is orange or chocolate cream =
`(9)/(16)`

Step-by-step explanation:

Part of candy has coconut filling =
`(1)/(8)`

Part of candy has peanut butter filling =
`(5)/(16)`

Part of candy has orange cream filling =
`(5)/(32)`

Remaining will be chocolate cream filling

=
`1-(1)/(8)-(5)/(16)-(5)/(32)\\=1-(4+10+5)/(32)\\=1-(19)/(32)\\=(32-19)/(32)\\=(13)/(32)`

Now, we have number of candies with coconut filling =8

so,
`(1)/(8)* x=8` , where x is the total number of candies ,

x = 8×8=64

So, the number of candies having chocolate cream filling=

`(13)/(32)* 64\\=26`

Percent of candy has peanut butter filling =
`(5)/(16)* 100\\=(125)/(4)`

∴Percent of candy has peanut butter filling = 31.25%

Fraction of candy is orange or chocolate cream

`=(5)/(32)+(13)/(32)\\=(18)/(32)\\=(9)/(16)`

∴Fraction of candy is orange or chocolate cream =
`(9)/(16)`