Question

A mixed bag of candy is 25% chocolate bars and 75% other filler candy. Of the chocolate bars, 50% of them contains caramel. Of the other filler candy, 10% of them contain caramel. What percent of candy contains caramel? *

Answer 1

20% candy contains caramel.

Explanation:

A bag of mixed candy has chocolate bars = 25%

and other filler candy = 75%

Let the 'c' represents the percentage of candy containing caramel in the bag of mixed candy.

Of the chocolate bars, percentage of candy containing caramel = 50% of 25%

Of the other filler candy, percentage of caramel candy = 10% of 75%

1c = 0.50(0.25) + 0.10(0.75)

= 0.125 + 0.075

= 0.2

By converting into percentage = 0.2 × 100 = 20%

20% candy contains caramel.