In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. the purple chips are worth more than the green chips, but less than the red chips. a certain number of chips are then selected from the bag. if the product of the point values of the selected chips is 88,000, how many purple chips were selected? a. 1b. 2c. 3d. 4e. 5

The correct option is B) 2.

Step-by-step explanation:

Consider the provided information.

Blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively.

The worth of purple chips is 5<x<11

The product of the point values of the selected chips is 88,000.

Calculate the prime factorization of 88,000.

88,000 = 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11

or 88,000 = 2⁶ × 5³ × 11

It means we have selected 3 chips of green and 1 chips of red. But there is no chip whose worth is 2. Also we know the value of x must be between 5 and 11.

2⁶ = 2³ × 2³ = 8 × 8

Hence, the value of purple chip is 8 and 2 purple chips is selected.

Therefore, the correct option is B) 2.