Question

This basketball season, Ricardo scored 4 less points than Dylan, Trevor scored twice as many points as

Dylan, and Michael scored 3 more than 5 times as many points as Dylan. If all 4 players scored a total of 548
points this season, how many points did each player score?
Number of points scored by Dylan:
Number of points scored by Ricardo:
Number of points scored by Trevor:
Number of points scored by Michael:

Answer 1

9514 1404 393

Answer:

Dylan, 61; Ricardo, 57; Trevor, 122; Michael, 308.

Explanation:

Let d represent the number of points that Dylan scored. Ricardo scored d-4; Trevor scored 2d; Michael scored 5d+3. Then the total of scores is ...

total = Dylan + Ricardo + Trevor + Michael

548 = d + (d-4) + (2d) + (5d+3)

549 = 9d

61 = d

Dylan scored 61 points.

Ricardo scored 57 points. = 61 -4

Trevor scored 122 points. = 2(61)

Michael scored 308 points. = 5(61) +3