Question

At a local

preschool, there is a ratio of 3
boys to every 4 girls. If there are 245 total
preschoolers enrolled, then how
boys?
many are

Answer 1

There are 105 boys in preschool.

Explanation:

We can set an equation:

(boys/girls)=3/4;

boys + Girls = 245

We know that Boys = 3/4* Girls

substitute it into the second equation:

3/4* Girls + Girls = 245

(3/4 + 1) * Girls = 245

(7/4)Girls = 245

Girls = 2454/7

Girls = 140

So there are 140 girls in preschool.

Now we can use the ratio of boys to girls (3:4) to find the number of boys:

boys = (3/4) * 140 = 105

There are 105 boys in preschool.