Question

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

Answer 1

`t=1(1)/(3)`

Explanation:

we have

`22t=32(2(1)/(4)-t)`

Solve for t

That means ----> isolate the variable t

Convert mixed number to an improper fraction first

`2(1)/(4)=(2*4+1)/(4)=(9)/(4)`

substitute

`22t=32((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=(288)/(216)`

Simplify

`t=(4)/(3)`

Convert to mixed number

`(4)/(3)=(3)/(3)+(1)/(3)=1(1)/(3)`

therefore

`t=1(1)/(3)`