The value of a ratio is 4 to 3. the second quantity in the ratio is how many times the first quantity in the ratio? explain your reasoning

The second quantity is 1.3333 times the first quantity in the ratio.

Solution:

A ratio is given to us which is 4:3.

What we need to find out is, the second quantity in the ratio is how many times the first quantity in the ratio.  

The definition of ratio is, the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

So according to the definition of ratio we get:

So we can say that 4 contains 3, 1.3333 times in it.

So the second quantity is 1.3333 times the first quantity in the ratio.

both equations and proportions are better.

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls