Question

Greg mixes 10 cans of black paint with 16 cans of white paint to get gray paint. How many cans of black paint will he need to mix with 96 cans of white paint to get the same gray color?

a. b = (10 × 96) / 16
b. b = (16 × 96) / 10
c. b = 96 / 10 + 16
d. b = 10 / 96 + 16

Answer 1

a. b = (10 × 96) / 16. To find out how many cans of black paint Greg will need to mix with 96 cans of white paint, we can set up a proportion using the given information.

Step-by-step explanation:

The correct answer is option b.

To find out how many cans of black paint Greg will need to mix with 96 cans of white paint, we can use a proportion. From the given information, we know that mixing 10 cans of black paint with 16 cans of white paint results in gray paint. Let's represent the number of cans of black paint needed as b.

We can set up the proportion as follows:

(10/16) = (b/96)

Cross multiplying, we get:

16b = 10 * 96

Dividing both sides of the equation by 16, we find:

b = (10 * 96) / 16

Therefore, Greg will need to mix (10 * 96) / 16 cans of black paint with 96 cans of white paint to get the same gray color.

The correct answer is option b, which states that Greg will need to mix (10 * 96) / 16 cans of black paint with 96 cans of white paint to get the same gray color.