Question

Allan and Dave bowl together and their combined total score for one game was 375 points. Allan’s score was 60 less than twice Dave’s. What were their scores?

Which is a system of equations to model the problem if x represents Dave’s score and y represents Allan’s score?
(Points : 1)
x + y = 60
y = 2x – 375

x + y = 375
y = 2x – 60

x + y = 375
y = 2x + 60

x – y = 375
y = 2x – 60

Answer 1

Since their added scores are 375, and one is x and the other is y, then you know
x + y = 375.
You can eliminate the 4th choice.

Answer 2

We need to write this as an equation:

"Allan’s score was 60 less than twice Dave’s. "

Answer 3

So D.

Answer 4

Did you read what I just wrote? We can eliminate D since instead of having an equation
x + y = 375, it has x - y = 375. So far all we know is that D is definitely not it.

Answer 5

Now we need to write

"Allan’s score was 60 less than twice Dave’s. "

as an equation. We are told Allan's score is y and Dave's score is x.

Let's do that below the statement.

"Allan’s score was 60 less than twice Dave’s. "
y's score was 60 less than twice x's

y = 2x - 60

Answer 6

The second equation is
y = 2x - 60

Answer 7

x + y = 375
y = 2x – 60

Answer 8

correct