Question

A factory uses 1/6 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/2 of a barrel of raisins. How many batches of granola bars did the factory make yesterday? Simplify your answer and write it as a proper fraction or as a whole or mixed number.

Answer 1

The factory made 3 batches of granola bars.

Explanation:

Given that:

1/6 barrel of raisins is used in each batch of granola bars.

1/6 barrel = 1 batch

1/2 barrel = x batches

As the relationship is proportional,

1/6 : 1 :: 1/2 : x

Product of mean = Product of extreme

`(1)/(6)x=(1)/(2)`

Multiplying both sides by 6

`6*(1)/(6)x=(1)/(2)*6\\x=3`

Hence,

The factory made 3 batches of granola bars.