Jim's weekly pay is two thirds of Alicia's. Together they earn $600 per week. What is each person's weekly pay?

Adrianna Macias

Adrianna Macias

Answered question

2022-07-26

Jim's weekly pay is two thirds of Alicia's. Together they earn $600 per week. What is each person's weekly pay?

Answer & Explanation

polishxcore5z

polishxcore5z

Beginner2022-07-27Added 14 answers

J = Jim's weekly pay
A= Alicia's weekly pay
If jim's weekly pay is 2/3'rds of alicia's we can write theequation as follows:
J = 2/3A (equation 1)
Together the two of them make 600 so we can then write
J + A = 600 (equation 2)
Now we substitute equation 1 into equation 2 to solve forAlicia's pay:
2/3A + A = 600
5/3 A = 600
Multiply both sides by 3/5 to get A by itself:
A = 600 * (3/5)
A = 360
So if Alicia makes $360, this must mean that Jim must make (600-360=) $240.

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