Use Tables of Equivalent Ratios Practice
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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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.
To find out how many tablespoons of white paint are needed if there are 8 tablespoons of red paint, we can set up an equivalent ratio.
Given:
Red paint = 8 tablespoons
Ratio of red to white paint for perfect pink color = 4:3
Let's set up the equivalent ratio:
Red paint:white paint = 4:3
Now we can cross multiply and solve for white paint:
Red paint:white paint = 4:3
8:white paint = 4:3
8 * 3 = white paint * 4
24 = white paint * 4
white paint = 24/4
white paint = 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 again use the equivalent ratio.
Given:
White paint = 12 tablespoons
Ratio of red to white paint for perfect pink color = 4:3
Let's set up the equivalent ratio:
Red paint:white paint = 4:3
Now we can cross multiply and solve for red paint:
Red paint:white paint = 4:3
Red paint:12 = 4:3
Red paint / 12 = 4/3
Red paint = (4 * 12) / 3
Red paint = 48/3
Red paint = 16
Therefore, 16 tablespoons of red paint are needed if there are 12 tablespoons of white paint.
To answer the first question, "How many tablespoons of white paint are needed if there are 8 tablespoons of red paint?", we can use the given ratio of 4 tablespoons of red paint to 3 tablespoons of white paint.
We can see from the table that when there are 4 tablespoons of red paint, there are 3 tablespoons of white paint. Therefore, we can infer that when there are 8 tablespoons of red paint, we need to find the corresponding value for white paint.
We can set up a proportion to solve for the missing value of white paint:
(4 tablespoons of red paint) / (3 tablespoons of white paint) = (8 tablespoons of red paint) / (x tablespoons of white paint)
Cross-multiply to solve for x:
4x = 3 * 8
4x = 24
x = 24 / 4
x = 6
Therefore, if there are 8 tablespoons of red paint, we would need 6 tablespoons of white paint.
To answer the second question, "How many tablespoons of red paint are needed if there are 12 tablespoons of white paint?", we can use the same approach.
We can see from the table that when there are 12 tablespoons of white paint, there are 9 tablespoons of red paint. Therefore, we can set up a proportion:
(4 tablespoons of red paint) / (3 tablespoons of white paint) = (9 tablespoons of red paint) / (12 tablespoons of white paint)
Cross-multiply to solve for the missing value of red paint:
4 * 12 = 3 * 9
48 = 27
48 / 3 = 27 / x
16 = 9x
x = 16 / 9
Therefore, if there are 12 tablespoons of white paint, we would need approximately 1.78 (16/9) tablespoons of red paint.