Question

Three players scored a total of 70 points during a basketball game. Jorge scored twice as many points as Rudolphus. Jeremy scored ten points fewer than Rudolphus. How many points did each player score

Answer 1

Jorge scored 40 points,

Rudolphus scored 20 points,

Jeremy scored 10 points

Explanation:

Total points = 70,

Scored by Jorge = x

Scored by Rudolphus = y

Scored by Jeremy = z,

Now,

x + y + z = total = 70

x + y + z = 70

Jorge scored twice as many as rudolphus, so,

x = 2y

Jeremy scored 10 points fewer than Rudolphus,

z = y - 10

We have the system of equations,

x + y + z = 70 (i)

x = 2y (ii)

z = y - 10 (iii)

Solving,

Putting the values of x and z from (ii) and (iii) into (i), we get,

(2y) + y + (y-10) = 70

2y + y + y - 10 = 70

4y - 10 = 70

4y = 70 + 10

4y = 80

y = 80/4

y = 20

So, Rudolphus scored 20 points

Now, putting value of y into (ii),

x = 2y,

x = 2(20)

x = 40

So, Jorge scored 40 points

Putting value of y into (iii),

z = y - 10,

z = 20 - 10

z = 10

So, Jeremy scored 10 points