the ratio of chocolate cones to vanilla cones sold at an ice cream shop is 5:4 if 54 cones were sold how many were chocolate?

I think Ms Sue misread the question.

let the number of chocs be 5x
let the number of vanillas be 4x

5x + 4x=54
9x=54
x = 6
so number of chocolates = 5x = 30
number of vanillas = 4x = 24

check:
total is 54
and 30:24 = 5:4

Sorry Ms Sue, your answer will produce the right answer.

Should have looked at your fraction more carefully.

To determine the number of chocolate cones sold, we need to use the given ratio and the total number of cones sold.

1. Add the parts of the ratio: The ratio of chocolate cones to vanilla cones is 5:4. This means that for every 5 parts of chocolate cones, there are 4 parts of vanilla cones. The total ratio is 5 + 4 = 9 parts.

2. Determine the value of one part: Since the total ratio is 9 parts and we know that 54 cones were sold, we divide the total number of cones by the total number of parts to find the value of one part. 54 รท 9 = 6.

3. Calculate the number of chocolate cones: Now that we know that one part equals 6 cones, we can multiply the number of parts representing chocolate cones (5) by the value of one part (6). 5 * 6 = 30.

Therefore, 30 chocolate cones were sold at the ice cream shop.

Cross multiply and solve for x.

5/9 = x/54