Use Tables of Equivalent Ratios Practice

Question

Complete this assessment to review what you’ve learned. It will not count toward your grade.
4 of 54 of 5 Items

Question
Use the table to answer the question.

White Red
3 4
x 8
9 12
12 y The ratio of red to white paint to make the perfect color pink is 4 tablespoons of red paint to 3 tablespoons of white paint. How many tablespoons of white paint are needed if there are 8 tablespoons of red paint? How many tablespoons of red paint are needed if there are 12 tablespoons of white paint?(1 point)
White Red
3 4
8
9 12
12
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Answer 1

To find out how many tablespoons of white paint are needed if there are 8 tablespoons of red paint, we can set up a proportion using the given ratio.

Given ratio: 4 tablespoons of red paint to 3 tablespoons of white paint

Let x be the number of tablespoons of white paint needed.

4/3 = 8/x

Cross-multiply and solve for x:

4x = 8*3

4x = 24

x = 24/4

x = 6

Therefore, 6 tablespoons of white paint are needed if there are 8 tablespoons of red paint.

To find out how many tablespoons of red paint are needed if there are 12 tablespoons of white paint, we can set up a proportion using the given ratio.

Given ratio: 4 tablespoons of red paint to 3 tablespoons of white paint

Let y be the number of tablespoons of red paint needed.

4/3 = y/12

Cross-multiply and solve for y:

4*12 = 3y

48 = 3y

y = 48/3

y = 16

Therefore, 16 tablespoons of red paint are needed if there are 12 tablespoons of white paint.