Asked by Stephanie
In a basketball game Maria scored 3 times as many points as Holly. In the next game, Maria scored 7 fewer points than she did in the first game, while Holly scored 9 more points than she did in the first game. If they scored the same number of points in the second game, how many points did each score in the first.
Answers
Answered by
Steve
m1 = 3h1
m2 = m1-7
h2 = h1+9
m2 = h2
now make some substitutions looking for m1 and h1
m1 = 3(h2-9) = 3(m2-9) = 3(m1-7-9)
m1 = 3m1 - 48
2m1 = 48
m1 = 24
so, h1 = 8
check: m2 = 24-7 = 17 = 8+9 = h2
m2 = m1-7
h2 = h1+9
m2 = h2
now make some substitutions looking for m1 and h1
m1 = 3(h2-9) = 3(m2-9) = 3(m1-7-9)
m1 = 3m1 - 48
2m1 = 48
m1 = 24
so, h1 = 8
check: m2 = 24-7 = 17 = 8+9 = h2
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.