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 = $\frac{9}{16}$

Explanation:

Part of candy has coconut filling =$\frac{1}{8}$

Part of candy has peanut butter filling = $\frac{5}{16}$

Part of candy has orange cream filling = $\frac{5}{32}$

Remaining will be chocolate cream filling

= $1-\frac{1}{8}-\frac{5}{16}-\frac{5}{32}\\=1-\frac{4+10+5}{32}\\=1-\frac{19}{32}\\=\frac{32-19}{32}\\=\frac{13}{32}$

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

so, $\frac{1}{8}\times x=8$ , where x is the total number of candies ,

x = 8×8=64

So, the number of candies having chocolate cream filling=

$\frac{13}{32}\times 64\\=26$

Percent of candy has peanut butter filling = $\frac{5}{16}\times 100\\=\frac{125}{4}$

∴Percent of candy has peanut butter filling = 31.25%

Fraction of candy is orange or chocolate cream

 $=\frac{5}{32}+\frac{13}{32}\\=\frac{18}{32}\\=\frac{9}{16}$

∴Fraction of candy is orange or chocolate cream = $\frac{9}{16}$