Question

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a gray crayon is made with 5 ml of black wax for every 6 ml of white wax.

which of the following wax mixtures will create the same shade of gray?

choose 2 answers:

a 45 ml of black wax mixed with 48 ml of white wax
b 15 ml of black wax mixed with 18 ml of white wax
c 20 ml of black wax mixed with 26 ml of white wax
d 35 ml of black wax mixed with 42 ml of white wax
e 10 ml of black wax mixed with 24 ml of white wax

Explanation:

Identify the target ratio

Using the Ratios and Rates knowledge point

$$ \text{Ratio of black wax to white wax} = 5 : 6 $$

Test Option A

Using the Comparing Ratios knowledge point

$$ 45 : 48 = \frac{45}{3} : \frac{48}{3} = 15 : 16 eq 5 : 6 $$

Test Option B

Using the Comparing Ratios knowledge point

$$ 15 : 18 = \frac{15}{3} : \frac{18}{3} = 5 : 6 $$

Test Option C

Using the Comparing Ratios knowledge point

$$ 20 : 26 = \frac{20}{2} : \frac{26}{2} = 10 : 13 eq 5 : 6 $$

Test Option D and E

Using the Comparing Ratios knowledge point

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Answer:

• (A) \(45\text{ mL}\) of black wax mixed with \(48\text{ mL}\) of white wax
• (B) \(15\text{ mL}\) of black wax mixed with \(18\text{ mL}\) of white wax (Correct answer)
• (C) \(20\text{ mL}\) of black wax mixed with \(26\text{ mL}\) of white wax
• (D) \(35\text{ mL}\) of black wax mixed with \(42\text{ mL}\) of white wax (Correct answer)
• (E) \(10\text{ mL}\) of black wax mixed with \(24\text{ mL}\) of white wax