Question

The ratio of the number of adults to the number of children at a concert was 4:3 There were 96 adults at the concert How many children were there
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Answer 1

Given that:

• The ratio of the number of adults to the number of children at a concert was 4 : 3.
• There were 96 adults at the concert.

To Find:

• How many children were there?

Let us assume:

• The number of children be x.

According to the question.

ㅤ↠ㅤ4 : 3 = 96 : x

ㅤ↠ㅤ4/3 = 96/x

Cross multiplication.

ㅤ↠ㅤ4x = 96(3)

ㅤ↠ㅤ4x = 288

ㅤ↠ㅤx = 288/4

ㅤ↠ㅤx = 72

ㅤ∴ㅤThe number of children = x = 72

Hence,

• There were 72 children at a concert.

Answer 2

Given:

The ratio of the number of adults to the number of children at a concert is 4:3 and there were 94 adults at the concert.

To Find:

How many children were at the concert?

Solution:

It is given that the ratio of number of adults to that of number of children is 4:3

First, we will let the number of children be $x$.

Now using the simple rule of Ratios we can further express the above situation as

                                                     $\frac{4}{3} =\frac{96}{x}$

now we need to just find the value of $x$ using basic algebraic rules

Therefore,

$\frac{4}{3}=\frac{96}{x}\\x=\frac{3}{4}*96\\x=3*24\\x=72$

Hence, the number of children present at the concert is 72.