Question

A pink crayon is made with 12 mL of red wax for every 5 mL of white wax. Which of the following wax mixtures will create the same shade of pink? Choose 2 answers:

a. 10 mL of red wax mixed with 24 mL of white wax
b. 48 mL of red wax mixed with 12 mL of white wax
c. 13 mL of red wax mixed with 6 mL of white wax
d. 36 mL of red wax mixed with 15 mL of white wax
e. 60 mL of red wax mixed with 25 mL of white wax

Answer 1

To find mixtures that create the same shade of pink, we need the same red to white wax ratio of 12:5, or 2.4:1. Options b (48 mL red, 20 mL white) and d (36 mL red, 15 mL white) match this ratio and thus they will create the same shade of pink and option number e is also follow.

Step-by-step explanation:

To determine which wax mixtures will create the same shade of pink, we need to find the mixtures that have the same ratio of red to white wax as the given ratio of 12 mL of red for every 5 mL of white. We can do this by dividing the amount of red wax by the amount of white wax for each option and comparing it to the original ratio of 2.4 to 1 (12 mL / 5 mL).

• Option a: 10 mL red / 24 mL white = 0.4167, which is not equal to 2.4, so this mixture will not work.
• Option b: 48 mL red / 20 mL white = 2.4, which matches the original ratio, so this mixture will create the same shade of pink.
• Option c: 13 mL red / 6 mL white = 2.1667, which is not equal to 2.4, so this mixture will not work.
• Option d: 36 mL red / 15 mL white = 2.4, which matches the original ratio, so this mixture will create the same shade of pink.
• Option e: 60 mL red / 25 mL white = 2.4, which matches the original ratio, so this mixture will also create the same shade of pink.

Therefore, the correct answers are Option b (48 mL of red wax with 20 mL of white wax) and Option d (36 mL of red wax with 15 mL of white wax).