Question

Formulate a system of equations to represent this situation, with f = the amount of money that Frank spent and r = the amount of money that Rachel spent. Frank and Rachel spent a total of $15.75. If Rachel spends twice as much money as Frank, how much money did they each spend?

Answer 1

Its A

Explanation:

The answer is A... I just took the quiz

Answer 2

We have:

f: the amount of money that Frank spent.
r = the amount of money that Rachel spent.

The system of equations that represents this situation is:

1) f+r=15.75
2)r=2f

Let's substitute r=2f into the equation 1):

f+r=15.75
f+2f=15.75
3f=15.75
f=15.75/3
f=5.25

Now, we must substitute f=5.25 into the second equation, as it shows below:

r=2f
r=2x5.25
r=10.50


How much money did they each spend? The answer is:

Frank spent 5.25$ and Rachel spent 10.50$