Matt scored 8 more points than Ted in the basketball game, and their scores together made up a quarter of the team's total scoring, which was 112. Which equation represents this scenario?
A: 4(8 + x) = 112
B: 4(2x + 8) = 112
C: 112/4 = 8 + x
D: x = 112/(4 x 8)
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not looking for a sloution,,,I know the answer is B just don't know why
We know that a total of 112 point were scored; and that M and T totaled together is 1/4 of that total:
112/4 = M + T
We know that M scored 8 more points than T which gives us:
112/4 = T + T + 8
Add the Ts to get:
112/4 = 2T + 8
T is just another name for "x" so we can replace it:
112/4 = (2x + 8)
We multiply both sides by "4" to get rid of the fraction thingy on the LHS:
122 = 4(2x + 8)
and we learn how to type so that everything matches up......