We are given a series of math problems. We need to solve problem number 15. The problem states: Three IT students P, Q, and R of UEMR develop an app and had GH¢ 135,000.00. P received twice as Q and Q received two-thirds as R. Find the amount received by Q.

AlgebraLinear EquationsWord ProblemSystems of Equations
2025/5/1

1. Problem Description

We are given a series of math problems. We need to solve problem number
1

5. The problem states: Three IT students P, Q, and R of UEMR develop an app and had GH¢ 135,000.

0

0. P received twice as Q and Q received two-thirds as R. Find the amount received by Q.

2. Solution Steps

Let the amount received by P be pp, the amount received by Q be qq, and the amount received by R be rr.
We are given the following information:
p+q+r=135000p + q + r = 135000
p=2qp = 2q
q=23rq = \frac{2}{3}r
From the second equation, p=2qp = 2q.
From the third equation, r=32qr = \frac{3}{2}q.
Substituting these into the first equation, we get:
2q+q+32q=1350002q + q + \frac{3}{2}q = 135000
Multiplying by 2 to eliminate the fraction:
4q+2q+3q=2700004q + 2q + 3q = 270000
9q=2700009q = 270000
q=2700009q = \frac{270000}{9}
q=30000q = 30000

3. Final Answer

The amount received by Q is GH¢ 30,000.
0

0. The answer is A.

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