Question

A teacher buys pencils and notebooks to give to her students. The ratio of pencils to notebooks is 3 to 2. Based on the ratio, if the teacher bought 75 pencils, how many notebooks did the teacher buy?

Option A : 50
Option B : 00
Option C : 150
Option D : 200
Option E : 250

Answer 1

If the teacher bought 75 pencils and the ratio of pencils to notebooks is 3:2, the teacher bought 50 notebooks.

Step-by-step explanation:

To find out how many notebooks the teacher bought, we can use the ratio given. The ratio of pencils to notebooks is 3 to 2. This means that for every 3 pencils, there are 2 notebooks.

If the teacher bought 75 pencils, we can set up a proportion to find out how many notebooks were bought. We can write the proportion as 3/2 = 75/x, where x is the number of notebooks. Cross multiplying, we get 3x = 2 * 75, which simplifies to 3x = 150. Dividing both sides by 3, we find that x = 150/3 = 50.

Therefore, the teacher bought 50 notebooks.