Bunuel wrote:

Carmen bought several cans of soda. If each can was either a 75–cent can or a 90–cent can, how many 90–cent cans did Carmen buy?

(1) Carmen bought a total of 5 cans of soda.

(2) The total value of the cans of soda Carmen bought was 450 cents.

Let x =number of cans of 75

y =number of cans of 90

(1) Carmen bought a total of 5 cans of soda.It could be:

x =1 and y =4

x =2 and y =3

Clearly Insufficient

(2) The total value of the cans of soda Carmen bought was 450 cents.75x + 90y = 450

multiple of 10 + multiple of 10 = multiple of 10

1- To make 75x multiple of 10, then x must be even.

2- In DS question, neither conditions contradicts the other. So we can use combination of 5 can to reach answer. (Note: It does not mean that we combine them, rather we use it as clue)

Based on 2 points above, x must be 0 or 2 or 4

\(75 (4) + 90 (1)\neq{450}\).........

Eliminate this possibility\(75 (2) + 90 (3)\neq{450}\).........

Eliminate this possibility\(75 (0) + 90 (5)\neq{450}\).........

Target Sufficient

Answer: B