Question

Greg has 16 clients. Dolores has 75% as many clients as Greg, and Robert has 25% as many clients as Greg and Dolores together. How many total clients do all three have?

Answer 1

Greg has 16 clients. Dolores has 75% as many clients as Greg, then

16 - 100%

x - 75%

Write proportion:

`(16)/(x)=(100)/(75),\\ \\x=(16\cdot 75)/(100)=12.`

This means that Dolores has 12 clients.

Together Dolores and Greg have 16+12=28 clients.

If Robert has 25% as many clients as Greg and Dolores together, then

28 - 100%

y - 25%

Mathematically,

`(28)/(y)=(100)/(25),\\ \\y=(28\cdot 25)/(100)=7.`

Therefore, Greg, Dolores and Robert have 16+12+7=35 clients.

Answer: 35 clients.