The number of points scored by Wison is 496 if James scores 86 points and Johnny scores 162 points.
In a dart game, there are three people playing - Johnny, James, and Wilson.
There are three statements given:
- James's score is 86.
- Johnny scored 10 points fewer than twice the number of points scored by James.
- Wilson scored twice as many points as the other 2 boys together.
We will make three equations using these statements.
Let Johnny score = A, James score = B, and Wison score = C.
Johnny scored 10 points fewer than twice the number of points scored by James, which can be written in equation form as:
A = 2B - 10 ...............(1)
Wilson scored twice as many points as the other 2 boys together, which can be written in equation form as:
C = 2 (A+B) ..............(2)
We know that,
James score = 86
i.e B = 86 ...........(3)
Putting in equation (1) we get,
A = 2(86) - 10 = 172 - 10 = 162
A = 162
Now,
Puttin A = 162 and B = 86 in equation (2).
C = 2 (A + B)
C = 2 (162 + 86)
C = 2 x 248
C = 496
Thus, the number of points scored by Wison is 496 if James scores 86 points and Johnny scores 162 points.
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