Answer:
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