Question

complete the parts below. write your answers as whole numbers or fractions in simplest form.
(a) a candy shop uses a ratio of 25 pieces of dark chocolate to 15 pieces of milk chocolate when assembling boxes of fudge. give two different unit rates using this relationship.
one unit rate: □ select > for each select >
another unit rate: □ select > for each select >
(b) how many pieces of milk chocolate are needed if 30 pieces of dark chocolate are used?
□ pieces of milk chocolate

Explanation:

Step1: Simplify the given ratio

The ratio of dark to milk chocolate is $25:15$. Simplify by dividing both by 5: $\frac{25}{5}:\frac{15}{5} = 5:3$.

Step2: Find first unit rate (dark per milk)

Calculate dark chocolate per 1 milk chocolate: $\frac{5}{3}$

Step3: Find second unit rate (milk per dark)

Calculate milk chocolate per 1 dark chocolate: $\frac{3}{5}$

Step4: Solve for milk chocolate (30 dark)

Set up proportion: $\frac{3}{5} = \frac{x}{30}$. Cross multiply: $x = \frac{3 \times 30}{5}$

Step5: Calculate final value for (b)

$x = \frac{90}{5} = 18$

Answer:

(a) One unit rate: $\frac{5}{3}$ pieces of dark chocolate for each piece of milk chocolate
Another unit rate: $\frac{3}{5}$ pieces of milk chocolate for each piece of dark chocolate
(b) 18 pieces of milk chocolate