A duffel bag contains a distinct number of baseballs, golf balls, and soft balls. If the bag holds 100 total balls and

[M7MBA]

A duffel bag contains a distinct number of baseballs, golf balls, and soft balls. If the bag holds 100 total balls and there are at least 20 of each type of ball, then are there more baseballs or golf balls?

1. The number of baseballs and golf balls is equal to number of softballs.

2. The number of baseballs is one fourth the sum of golf balls and softballs.

Answer: B

Source: EMPOWERgmat

[swerve]

A duffel bag contains a distinct number of baseballs, golf balls, and soft balls. If the bag holds 100 total balls and there are at least 20 of each type of ball, then are there more baseballs or golf balls?

1. The number of baseballs and golf balls is equal to number of softballs.

2. The number of baseballs is one fourth the sum of golf balls and softballs.

Answer: B

Source: EMPOWERgmat

From 1, we have
\(b + g = s\)
If \(b + g = 50; s = 50\)
Can't say if \(b\) or \(g\) is greater when they sum to \(50\). Not Sufficient \(\Large{\color{red}\chi}\)

From 2, we have
\(b = \dfrac{g + s}{4}\)
\(4b = g + s\)
\(b + 4b = 100\)
\(b = 20\)

So, \(g > b\) since all have at least \(20\) and \(20\) is already taken ("distinct"!). Sufficient \(\Large{\color{green}\checkmark}\)

Therefore, B