Question

akira is frosting cookies in her schools colors to sell at the bake sale, making 5 cookies with green frosting for every 2 with white. how many cookies with green frosting does akira make per cookie with white frosting? \\(\frac{2}{5}\\) of a cookie with green frosting per cookie with white frosting \\(2\frac{1}{2}\\) cookies with green frosting per cookie with white frosting 3 cookies with green frosting per cookie with white frosting \\(4\frac{1}{2}\\) cookies with green frosting per cookie with white frosting

Explanation:

Step1: Understand the ratio

The ratio of green - frosted cookies to white - frosted cookies is 5:2. We want to find the number of green - frosted cookies per white - frosted cookie, so we calculate the ratio of green to white, which is $\frac{\text{Number of green - frosted cookies}}{\text{Number of white - frosted cookies}}$.

Step2: Calculate the ratio

Given that for every 2 white - frosted cookies, there are 5 green - frosted cookies. So the number of green - frosted cookies per white - frosted cookie is $\frac{5}{2}$.
We can convert $\frac{5}{2}$ to a mixed number: $\frac{5}{2}=2\frac{1}{2}$.

Answer:

$2\frac{1}{2}$ cookies with green frosting per cookie with white frosting (i.e., the option " $2\frac{1}{2}$ cookies with green frosting per cookie with white frosting")