Question

PLEASE HELP!! The question is “ Abbey spends 5 hours less then triple the amount of time Emily spends on homework. Nathan spends twice as much time on homework as Abbey does. Write a simplified expression for the total number of hours the three friends spend on their homework. Show your work.”

Answer 1

5(2x-3)

Explanation:

Let the amount of time Emily spends on homework.=x (in hours)

Abbey's Time = 5 hours less than triple the amount of time Emily spends

Therefore:

• Amount of Time spent by Abbey =3x-5

Nathan's Time = Twice as much time as Abbey.

• Amount of Time spent by Nathan =2(3x-5)

Next, we calculate the total number of hours the three friends spend on their homework

=Time spent by Emily+Time spent by Abbey+Time spent by Nathan

=x+(3x-5)+2(3x-5)

=x+3x-5+6x-10

Collect like terms

=x+3x+6x-5-10

=10x-15

Next, we simplify by factorizing

Therefore, Total number of hours =5(2x-3)