Solve for t
t=5
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3t+9t=40\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
3t+9t=\frac{40\times 3}{2}
Express 40\times \frac{3}{2} as a single fraction.
3t+9t=\frac{120}{2}
Multiply 40 and 3 to get 120.
3t+9t=60
Divide 120 by 2 to get 60.
12t=60
Combine 3t and 9t to get 12t.
t=\frac{60}{12}
Divide both sides by 12.
t=5
Divide 60 by 12 to get 5.
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