The five starting players on a basketball team score points in the ratio of 1:1:2:3:4. If the starters score a total...

[BTGmoderatorLU]

Source: Princeton Review

The five starting players on a basketball team score points in the ratio of 1:1:2:3:4. If the starters score a total of 77 points in a particular game, how many points did the highest-scoring starter score?

A. 7
B. 11
C. 14
D. 21
E. 28

The OA is E

[Jay@ManhattanReview]

Source: Princeton Review

The five starting players on a basketball team score points in the ratio of 1:1:2:3:4. If the starters score a total of 77 points in a particular game, how many points did the highest-scoring starter score?

A. 7
B. 11
C. 14
D. 21
E. 28

The OA is E

Given that the five starting players on a basketball team score points in the ratio of 1:1:2:3:4, on the ratio scale they score 1 + 1 + 2 + 3 + 4 = 11 points.

Since 11 points on ratio scale = 77 points on an actual scale, 1 point on ratio scale = 7 points on an actual scale; thus, the highest-scoring starter scored 4*7 = 28 points

Correct answer: E

Hope this helps!

-Jay
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[Scott@TargetTestPrep]

Source: Princeton Review

The five starting players on a basketball team score points in the ratio of 1:1:2:3:4. If the starters score a total of 77 points in a particular game, how many points did the highest-scoring starter score?

A. 7
B. 11
C. 14
D. 21
E. 28

The OA is E

Solution:

We can create the equation:

x + x + 2x + 3x + 4x = 77

11x = 77

x = 7

Therefore, the highest-scoring starter scored 4(7) = 28 points.

Answer: E