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
(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
Answers
GPT 3.5
(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.
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.