Q:

# A gray crayon is made with 5\text{ mL}5 mL5, space, m, L of black wax for every 6\text{ mL}6 mL6, space, m, L of white wax.Which of the following wax mixtures will create the same shade of gray?Choose 2 answers:Choose 2 answers:(Choice A)A10\text{ mL}10 mL10, space, m, L of black wax mixed with 24\text { mL}24 mL24, space, m, L of white wax(Choice B)B15\text{ mL}15 mL15, space, m, L of black wax mixed with 18\text { mL}18 mL18, space, m, L of white wax(Choice C)C35\text{ mL}35 mL35, space, m, L of black wax mixed with 42\text { mL}42 mL42, space, m, L of white wax(Choice D)D20\text{ mL}20 mL20, space, m, L of black wax mixed with 26\text { mL}26 mL26, space, m, L of white wax(Choice E)E45\text{ mL}45 mL45, space, m, L of black wax mixed with 48\text { mL}48 mL48, space, m, L of white wax

Accepted Solution

A:
The correct answers are B and C.

Since the mixture requires 5 mL of black wax and 6 mL of white wax, we want multiples of these numbers; specifically, we need multiples that are the same number of times away.

A does not work; 10 is 5*2 and 24 is 6*4.  These won't be in the same ratio.

B works; 15 is 5*3 and 18 is 6*3.  These have the same ratio.

C works; 35 is 5*7 and 42 is 6*7.  These have the same ratio.

D does not work; 26 is not a multiple of 6.

E does not work; 45 is 5*9 and 48 is 6*8.  These will not have the same ratio.