Make Q the subject of formula if \( p = \frac{M}{5}(X + Q) + 1 \)

Assessment: JAMB UTME - Mathematics - 2010 Subject: General Mathematics

Question 1 Report

Make Q the subject of formula if \( p = \frac{M}{5}(X + Q) + 1 \)

Answer Details
To make Q the subject of the formula if p=M5 in the expression (X+Q)+1, we need to isolate Q on one side of the equation and simplify the expression on the other side. First, we need to remove the parentheses by adding X and 1 together, which gives us X+1. Next, we move M5 to the other side of the equation by subtracting it from both sides, resulting in: (X+Q)+1 - M5 = 0 Then, we can isolate Q by subtracting X and 1 from both sides: (X+Q) - (X+1) - M5 = -1 Simplifying the left-hand side, we get: Q - M5 = -1 Finally, we can solve for Q by adding M5 to both sides: Q = M5 - 1 Therefore, the expression (X+Q)+1 can be simplified to MX+5P-5M-4, and Q is equal to M5-1. The correct answer is (B) 5P-MX-5M.

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