A graphic design department has senior designers and junior designers in a ratio of 3 : 4.… — GMAT

A graphic design department has senior designers and junior designers in a ratio of $3 : 4$ . If there are $24$ junior designers in the department, what is the total number of senior and junior designers in the department?

Answer: 42 designers

Answer

The total number of senior and junior designers in the department is 42.

The ratio of senior to junior designers is

3 : 4

. Given that there are

24

junior designers,

4

ratio parts equal

24

, making

1

ratio part equal to

6

. The total department consists of

3 + 4 = 7

ratio parts. Therefore, the total number of designers is

7 \times 6 = 42

Step-by-Step Solution

Determine the value of one ratio unit using the given number of junior designers.

Since

4

ratio parts correspond to

24

junior designers,

1

ratio part

= 24 / 4 = 6

The given count of

24

aligns with the

4

parts of junior designers in the

3 : 4

ratio.

Calculate the total ratio parts and find the total count of designers.

Total ratio parts

= 3 + 4 = 7

. Total designers

= 7 \times 6 = 42

The total department size is represented by the sum of the ratio components.

Key Concept

Ratio and Proportion Word Problems

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