BTGmoderatorDC wrote: ↑

Mon Nov 16, 2020 5:55 pm

The Binary Ice Cream Shoppe sells two flavors, vanilla and chocolate. On friday, the ratio of vanilla cones sold to chocolate cones sold was 2 to 3. If the store had sold 4 more vanilla cones, the ratio of vanilla cones sold to chocolate cones sold would have been 3 to 4. How many vanilla cones did the store sell on Friday?

A) 32
B) 35
C) 42
D) 48
E) 54


OA A

Solution:

We can create the ratio:

vanilla : chocolate = 2x : 3x

Had the store sold 4 more vanilla cones, the ratio of vanilla cones sold to chocolate cones sold would have been 3 to 4. So we can create the equation:

(2x + 4)/3x = 3/4

4(2x + 4) = 9x

8x + 16 = 9x

16 = x

Thus, the store sold 32 vanilla cones on Friday.

Answer: A