In the game of Dubblefud, red chips, blue chips and green chips are each worth 2, 4 and 5 points respectively. In a certain selection of chips, the product of the point values of the chips is 16,000. If the number of blue chips in this selection equals the number of green chips, how many red chips are in the selection?A. 1
B. 2
C. 3
D. 4
E. 5

Respuesta :

Answer:

A) 1

Step-by-step explanation:

Red chips give 2 points

Blue chips give 4 points

Green chips give 5 points

The factors of 16000= 2*2*2*2*2*2*2*5*5*5

= 2^7 *5^3

= 2^3 * 2^4 * 5^3

Green chip is a multiple of 5

This means that we have 3 green chips.

Recall that;

The number of green chips equals the number of blue chips

Blue chips has a multiple of 4. This implies that for blue chips we have 4^3

The value of blue and green chips = 4^3 * 5^3

= 8000

The value of red chips = 16000/8000

= 2= 2^1

the number of Red chips = 2/2 = 1(A)