Final answer:
To find the missing values in the ratio table, set up proportions and solve for the missing values. Part A: When there are 16 boots, there are 36 shoes. Part B: When there are 90 shoes, there are 40 boots.
Step-by-step explanation:
To find the missing values in the ratio table, we need to determine the ratio between the number of shoes and boots. The given ratio is Shoes:Boots = 9:4.
Part A: To find the missing value when there are 16 boots, we can set up a proportion:
9/4 = x/16
Cross-multiplying gives us: 9 * 16 = 4x
Solving for x, we find x = 36.
Therefore, when there are 16 boots, there are 36 shoes.
Part B: To find the missing value when there are 90 shoes, we can set up another proportion:
9/4 = 90/y
Cross-multiplying gives us: 9 * y = 4 * 90
Simplifying, we get 9y = 360.
Dividing both sides by 9, we find y = 40.
Therefore, when there are 90 shoes, there are 40 boots.