passpadi

2018

Mathematics

JAMB

Solve for t in the equation 3/4 t + 13 (21 - t) = 11

A.

9/13

B.

7/13

C.

5

D.

9(3/5)

Correct Answer: 9(3/5)

Explanation

3/4 t + 1/3 (21 - t) = 11 Multiply through by the LCM of 4 and 3 which is 12 12 x(3/4 t) + 12 x (1/3 (21 - t)) = (11 x 12) 9t + 4(21 - t) = 132 9t + 84 - 4t = 132 5t + 84 = 132 5t = 132 - 84 = 48 t = 48/5 t = 9(3/5)

3/4 t + 1/3 (21 - t) = 11 Multiply through by the LCM of 4 and 3 which is 12 12 x(3/4 t) + 12 x (1/3 (21 - t)) = (11 x 12) 9t + 4(21 - t) = 132 9t + 84 - 4t = 132 5t + 84 = 132 5t = 132 - 84 = 48 t = 48/5 t = 9(3/5)
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