Question

The ratio of vanilla ice cream cones to chocolate ice cream cones one day was 5:8. If 40 chocolate cones were sold, how many vanilla cones were sold?

A. 25 vanilla cones were sold.
B. 32 vanilla cones were sold.
C. 20 vanilla cones were sold.
D. 48 vanilla cones were sold.

Answer 1

By setting up a proportion based on the given ratio of vanilla to chocolate ice cream cones (5:8) and the number of chocolate cones sold (40), we calculate that 25 vanilla cones were sold.

Step-by-step explanation:

To determine how many vanilla ice cream cones were sold based on the ratio and the number of chocolate cones sold, we can set up a proportion. The ratio of vanilla ice cream cones to chocolate ice cream cones is given as 5:8. This means for every 5 vanilla cones sold, there are 8 chocolate cones sold. Since we know that 40 chocolate cones were sold, we can set up the proportion as follows:

5/8 = x/40

Now, cross-multiply to solve for x, which represents the number of vanilla cones:

5 × 40 = 8 × x

200 = 8x

Divide both sides by 8 to isolate x:

200 / 8 = 8x / 8

25 = x

Therefore, 25 vanilla cones were sold when 40 chocolate cones were sold.

The correct answer is A. 25 vanilla cones were sold.