Write an equation to determine how many minutes it takes Francesca to get to work.

Question

Full Question - Riley and Francesca both commute to work. Riley's commute on the train takes 12 minutes more than 1/2 as many minutes as Francesca's commute by car. It takes Riley 36 minutes to get to work. Write an equation to determine how many minutes it takes Francesca to get to work.

 1.36 = 1/2x − 12 

2.36 = 2x − 12

 3.36 = 2x + 12 

4.36 = 1/2x + 12

Answer 1

First we can translate the word problem to get an equation for Riley in terms of Francesca.

Riley's commute on the train takes 12 minutes more than 1/2 as many minutes as Francesca's commute by car.

R = 12 + 1/2 F

This is the relationship between Riley's time to work and Francesca's time to work.

Now let's add in: It takes Riley 36 minutes to get to work.

R = 36

36 = 12 + 1/2 F

Now we have an equation that can be solved for the amount of time Francesca gets to work so the answer is 4, 36 = 1/2x + 12.

Answer 2

Let's assume Francesca takes x minutes to get to work. Here x just represent the final commute time Francesca really take to commute, but right now we don't really know it yet, so we just use "x" as a symbol to represent the number.

On the other side, Riley's commute time is 12 min more than 1/2 Francesca's time (which is x as we assumed above). So, here we can represent Riley's commute time as

1/2 x + 12 (minutes)

And also we already know Riley's commute time is 36 mintues from the question. So the qeuation will be:

36 = 1/2 x + 12

Which is the Fourth answer option.