Question

There are some pencils and erasers in a

box. If there are 12 pencils and the ratio
of pencils to erasers is 3:2, how many
erasers are in the box?

Answer 1

There are 8 erasers in the box

Explanation:

given that the Ratio of pencils to erasers is 3:2

No matter how many pencils and erasers are there the ratio will simplify to the given ratio.

Let x be the number of erasers when there are 12 pencils

The ratio of 12 pencils to x erasers will be same 3:2

Putting it mathematically

`(pencils)/(erasers) = (pencils)/(erasers)\\(12)/(x) = (3)/(2)\\12 * 2 = 3x\\3x = 24\\(3x)/(3) = (24)/(3)\\x = 8`

Hence,

There are 8 erasers in the box