2018
Mathematics
67ca00ce0c643c71d77dee1f
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)THIS WEEK's
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