Question

Complete the parts below. Write your answers as whole numbers or fractions in simplest form.
(a)A candy shop uses a ratio of 36 pieces of dark chocolate to 12 pieces of milk chocolate when assembling boxes of fudge. Give two different unit rates using this relationship.

One unit rate: for each
Another unit rate: for each

(b)How many pieces of milk chocolate are needed if 42 pieces of dark chocolate are used?

pieces of milk chocolate

Answer 1

(a) One unit rate: 3 pieces of dark chocolate for each 1 piece of milk chocolate
Another unit rate: 12 pieces of dark chocolate for each 4 pieces of milk chocolate

(b) If 42 pieces of dark chocolate are used, then the number of pieces of milk chocolate needed can be found using the ratio:

36 pieces of dark chocolate / 12 pieces of milk chocolate = 42 pieces of dark chocolate / x pieces of milk chocolate

Cross-multiplying, we get:

36x = 12 * 42

36x = 504

Dividing both sides by 36, we get:

x = 504 / 36

x = 14

Therefore, 14 pieces of milk chocolate are needed if 42 pieces of dark chocolate are used.