Question

22t=32(2 1/4-t) solve for t

Answer 1

Answer:

$t=1\frac{1}{3}$

Step-by-step explanation:

we have

$22t=32(2\frac{1}{4}-t)$

Solve for t

That means ----> isolate the variable t

Convert mixed number to an improper fraction first

$2\frac{1}{4}=\frac{2*4+1}{4}=\frac{9}{4}$

substitute

$22t=32(\frac{9}{4}-t)$

Multiply by 4 both sides to remove the fraction

$88t=32(9-4t)$

Distribute right side

$88t=288-128t$

Adds 128t both sides

$88t+128t=288$

$216t=288$

Divide by 216 both sides

$t=\frac{288}{216}$

Simplify

$t=\frac{4}{3}$

Convert to mixed number

$\frac{4}{3}=\frac{3}{3}+\frac{1}{3}=1\frac{1}{3}$

therefore

$t=1\frac{1}{3}$