Question

A jar contains candies and chocolates. For every 9 candies in the jar, there are 7 chocolates. If there are 336 items in the jar, how many would be chocolate?

Answer 1

There are 147 chocolates in the jar.

Candies = 9
Chocolates = 7

9 + 7 = 16

Candies = 9/16 = 0.5625 * 100% = 56.25%
Chocolates = 7/16 = 0.4375 * 100% = 43.75%

Total items = 336

Candies = 56.25% * 336 = 189
Chocolates = 43.75% * 336 = 147

Answer 2

We are given the ratio of candies to chocolates, which is 9:7. It also means that if we have 16 portions, there are 9 portions of candies and 7 of chocolates.

If there were 16 portions, then in 1 portion there would be:
336 items/ 16 portions= 21 items/portion.

As we assume that we have 16 portions, there are 7 portions of chocolates. Therefore, the number of chocolate is:
21 items/ 1 portion* 7 portions= 147 items.

Because we are referring to 7 portions of chocolates, 147 "items" are also 147 chocolates.

Hope this would help :))