Question

For every 5 pieces of candy you received from trick or treating, you receive 2 pieces of gum. If you counted 28 pieces of gum in your treat bag, how many pieces of candy do u have??

Answer 1

For 28 pieces of gum you have 70 pieces of candies.

Explanation:

5 piece of candy gives 2 pieces of gum

So, the Ratio of Candy : Gum = 5 : 2

Now, the number of gums received = 28

Let the number of candy received = m

⇒ 5 : 2 = m : 28

By, the RATIO OF PROPORTIONALITY:

`(5)/(2)   = (m)/(28)`

or,
`m= (28  * 5)/(2)  = (140)/(2)  = 70`

⇒ m = 70

Hence, for 28 pieces of gum you have 70 pieces of candies.