Solve the problem

Question

Yo make each costume for a play, a seamstress uses 3 yards 10 inches of fabric. How much fabric will she use to make 9 identical costumes?.

Answer 1

Step 1: Understand the Fabric Needed for One Costume

1. The seamstress uses 3 yards 10 inches of fabric for one costume.
2. 1 yard = 36 inches, so 3 yards is 3 x 36 = 108 inches.
3. Adding the 10 extra inches, she uses 108 + 10 = 118 inches of fabric per costume.

Step 2: Calculate the Fabric for 9 Costumes

1. Since she needs 118 inches of fabric for one costume, for 9 costumes, she will need 9 x 118 = 1,062 inches of fabric.

Step 3: Convert Back to Yards and Inches

1. Now, convert 1,062 inches back to yards and inches.
2. 1,062 inches ÷ 36 inches per yard = 29 yards with 18 inches left over.

Final Answer

The seamstress will need 29 yards and 18 inches of fabric to make 9 identical costumes.

Answer 2

First, let's convert the fabric used for one costume into a single unit (inches or yards). Since 1 yard = 36 inches, we can convert the yards and inches separately and then combine them.

For one costume:

1. Yards: 3 yards = 3 * 36 inches = 108 inches
2. Inches: 10 inches

Total fabric for one costume in inches: 108 inches+10 inches=118 inches108 \text{ inches} + 10 \text{ inches} = 118 \text{ inches}108 inches+10 inches=118 inches

Now, to find the total fabric for 9 costumes: 118 inches×9=1062 inches118 \text{ inches} \times 9 = 1062 \text{ inches}118 inches×9=1062 inches

Next, we convert the total inches back to yards and inches: 1062 inches÷36=29 yards with a remainder of 18 inches1062 \text{ inches} \div 36 = 29 \text{ yards} \text{ with a remainder of } 18 \text{ inches}1062 inches÷36=29 yards with a remainder of 18 inches

So, the total fabric needed for 9 costumes is: 29 yards and 18 inches29 \text{ yards and } 18 \text{ inches}29 yards and 18 inches

Answer 3

Since 1 yard = 36 inches, Seamstress will need 3* 36= 108 + 10 inches = 118 inches of fabric / costume

If she has to make 9 such costumes, she will need 118* 9= 1,062 inches of fabric.

Converting this back to yards and inches, 1062/ 36 = 29.5 yards of fabric.

Since 1 yard = 36 inches, 0.5 yards = 36/ 0.5 = 18 inches

Therefore the seamstress will need 29 yards and 18 inches of fabric to make 9 costumes.

Answer 4

Hi Lizzet,

One way to solve this problem is to convert the yards and inches to just inches, multiply by the amount of costumes, divide to convert back to yards, and then write our result.

1. First convert everything to inches:
2. 1 yard = 36 inches
3. 3 yards = 3 * 36 inches = 108 inches
4. 3 yards and 10 inches = 108 + 10 inches = 118 inches
5. Multiply by the number of costumes (Since 1 costume is 118, and we need 9, we need to multiply by 9):
6. 118 inches * 9 = 1062 inches
7. We need to convert back to yards and inches (divide by 36 since 36 inches is equal to a yard):
8. 1062 / 36 = 29.5 or 29 R 18
9. To make 9 identical costumes she will use 29.5 yards or 29 yards and 18 inches.

Answer 5

Answer 6

Hello Lizzet,

I think a simple to approach this problem is to multiply the materials needed for one costume by 9, since you are essentially making replicas of the original costume. So, if you need 3 yards and 10 inches for one costume, then you would multiply 3 yards x9 and 10 inches x9, which equals 27 yards and 90 inches. This is technically a correct answer, however, the 90 inches can be converted to yards to have measurements that are more uniform and a bit easier to manage. There are 36 inches in 1 yard, so we can do 90 inches/36, which is equal to 2.5. This means that 90 inches is equivalent to 2.5 yards, and since the major unit is yards, we can simply add the 2.5 yards to the 27 yards we calculated earlier, which would yield 29.5 yards.

Answer 7

27 yards and 90 inches