Question

The ratio of Gina’s score to Ken’s score in a bowling game is 3 : 2. The ratio of Ken’s
score to Wei Xin’s score is 4 : 5. Gina, Ken and Wen Xin score 360 points altogether.
a. Find the ratio of Gina’s score to Wen Xin’s score.
b. How many points does Wen Xin score?

Answer 1

Answer:

6:5, 120

Step-by-step explanation:

Let score of Gina and Ken be = 3x, 2x respectively

Let score of Ken and Wei Xin be = 4y, 5y respectively

The score of Ken will be same for both cases, thus we'll get the relation between x and y variables-

2x = 4y

→ x = 2y

Given that:

Gina + Ken + Wei = 360

→ 3x + 2x + 5y = 360

Use the relation between x and y to eliminate y from equation:

→ 5y + 3(2y) + 2(2y) = 360

→ 5y + 10y = 360

→ y = 360/15 = 24

x = 2y = 48

Scores:

Gina = 3x = 144

Ken = 96

Wei = 120

• Solution (a)-

Gina:Wei = 144:120 = 6:5

• Solution(b)-

Wei scores = 120