Question

Four friends are playing a game. They randomly choose a handful of marbles from a bag. The player with the highest ratio of blue marbles to purple marbles gets to go first.
Number of Marbles

Name

Blue Marbles

Purple Marbles

Rosa

10

12

Chi

5

6

Alberto

5

12

Pedro

10

6


Which player gets to go first?

Rosa

Chi

Alberto

Pedro

Answer 1

Answer: (D)

Step-by-step explanation: Pedro.

Answer 2

We are given the number of Blue and Purple Marbles for each of the four friends. So first we have to find the ratio of blue marbles to purple marbles for each of them.

A) Rosa

Number of blue marbles = 10

Number of purple marbles = 12

Ratio of blue to purple marbles = $\frac{10}{12}=0.833$

B) Chi

Number of blue marbles = 5

Number of purple marbles = 6

Ratio of blue to purple marbles = $\frac{5}{6}=0.833$

C) Alberto

Number of blue marbles = 5

Number of purple marbles = 12

Ratio of blue to purple marbles = $\frac{5}{12}=0.417$

D) Pedro

Number of blue marbles = 10

Number of purple marbles = 6

Ratio of blue to purple marbles = $\frac{10}{6}=1.667$

From the above calculations we can see that Pedro has the highest value of ratio for blue marbles to purple marbles. Also we can see Pedro is the only one for whom the number of blue marbles is more than the number of purple marbles. So this confirms that our calculation is correct.

Thus, the player which gets to go first is Pedro.