Question

patricks favorite shade of purple paint is made with 4 milliliters of blue paint for every 3 milliliters of red paint. which of the following paint mixtures will create the same shade of purple? choose 2 answers: a 3 milliliters of blue paint mixed with 4 milliliters of red paint b 8 milliliters of blue paint mixed with 6 milliliters of red paint c 6 milliliters of blue paint mixed with 8 milliliters of red paint d 20 milliliters of blue paint mixed with 15 milliliters of red paint e 12 milliliters of blue paint mixed with 16 milliliters of red paint

Explanation:

Step1: Find the ratio of blue - to - red paint in the original mixture

The original ratio is $\frac{4}{3}$ for blue to red paint.

Step2: Check the ratios of each option

Option A

The ratio is $\frac{3}{4}
eq\frac{4}{3}$.

Option B

The ratio is $\frac{8}{6}=\frac{4}{3}$.

Option C

The ratio is $\frac{6}{8}=\frac{3}{4}
eq\frac{4}{3}$.

Option D

The ratio is $\frac{20}{15}=\frac{4}{3}$.

Option E

The ratio is $\frac{12}{16}=\frac{3}{4}
eq\frac{4}{3}$.

Answer:

B. 8 milliliters of blue paint mixed with 6 milliliters of red paint
D. 20 milliliters of blue paint mixed with 15 milliliters of red paint