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?

a. x + y = 60
y = 2x – 375

b. x + y = 375
y = 2x – 60

c. x + y = 375
y = 2x + 60

d. x – y = 375
y = 2x – 60

B. x + y = 375

y = 2x – 60

Step-by-step explanation:

Given :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.

To Find:

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?

Solution :

x repesents Dave’s score

y represents Allan’s score

Since we are given that their combined total score for one game was 375 points

⇒x+y=375 ---1

Now we are given that Allan’s score was 60 less than twice Dave’s

⇒y =2x-60---2

Thus x+y=375 and y =2x-60 is a required system of equations.

So, option b is correct.

Now to calculate their scores.

Put value of y from equation 2 in 1

⇒x+(2x-60)=375

⇒3x=375+60

⇒3x=435

⇒

⇒x=145

Now put this value of x in equation 1 to get value of y

⇒145+y=375

⇒y=375-145

⇒y=230

Thus Dave's score is 145 and Allan's score is 230

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step-by-step explanation:

step-by-step explanation:

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