How many complete sets of aprons could you make out of 5 1/2 bolts of material and 1 bolt is equal to 15 yards? there are adult size which needs 3/4 yard

material to make and child size which takes 1/2 yard to make.

adult size = 5.5 * 15/.75 = ?

Child size = 5.5 * 15/.5 = ?

To determine the number of complete sets of aprons you can make, you need to calculate the total amount of fabric required for each set, and then divide the total fabric available by the fabric required per set.

Let's start by calculating the fabric required for an adult apron:
- An adult apron requires 3/4 yard of material.
- Multiply this by the number of adult aprons you want to make in a set (assuming one set consists of one adult apron): 1 * 3/4 = 3/4 yard per set for adult size.

Now, let's calculate the fabric required for a child apron:
- A child apron requires 1/2 yard of material.
- Multiply this by the number of child aprons you want to make in a set (assuming one set consists of one child apron): 1 * 1/2 = 1/2 yard per set for child size.

To find the total fabric required per set, add the fabric required for an adult apron and a child apron:
3/4 + 1/2 = 6/8 + 4/8 = 10/8 = 5/4 yard per set.

Since 1 bolt of fabric is equal to 15 yards, and there are 5 1/2 bolts of fabric, the total fabric available is:
5 1/2 * 15 = (5 + 1/2) * 15 = 5 * 15 + 1/2 * 15 = 75 + 7.5 = 82.5 yards.

To determine the number of complete sets you can make, divide the total fabric available by the fabric required per set:
82.5 yards / (5/4 yard per set) = 82.5 / (5/4) = 82.5 * (4/5) = 66 sets.

Therefore, you can make 66 complete sets of aprons out of the given amount of fabric.