Question

If it is going to take anna and tamara 10x-3 minutes to get to bonita springs and 5x+7 minutes to northville, what is the difference in the lengths of travel time to bonita springs and northville? Please answer as an algebraic expression

Answer 1

Time taken to reach Tamara

`=10x-3`

Time taken to reach Northvile

`=5x+7`

Difference in time

Time taken to reach Tamara minus time taken to reach Northvile

`=10x-3-(5x+7)`

We expand brackets to obtain,

`=10x-3-5x-7`

Regroup like terms on the right side of the equation to get;

`=10x-5x-3-7`

We simplify to obtain,

`=5x-10`

Hence the difference in length of travel time is
`5x-10` minutes.