Question

ciara is making a new outfit. She needs 2 1/2 yards of fabric for the shawl. She needs 1 7/8 yards of fabric for the dress. if she currently has 9/10 of a yard of fabric how much more fabric does she need to complete the outfit? if each yard is fabric cost $6.87, how much money will ciara need to make her dance outfit?

Answer 1

First find out the total amount you need for your fabric.
2 1/2 yards for the shawl1 7/8 yards for the dress
The total would be 2 4/8 + 1 7/8 = 4 1/8 yards
Since you already have 9/10 of a yard, just subtract from your total amount.
3 90/80 + 72/80 = 3 18/80 = 3 9/40 *good to simplify*
She needs 3 9/40 yards more of fabric.
You already have 9/10 of fabric so you don't need to pay for it.You need to just pay for the 3 9/40 yards.
3 * 6.87 = 20.61(6.87/ 40) * 9 = 1.54575
20.61 + 1.54575 = 22.15575 *round it*
You need $22.16 to make the dance outfit.

Answer 2

• The extra amount of fabric she needs to complete the outfit is:

`3(19)/(40)\ \text{yard}`

• The money Ciara need to make her dance outfit is:

$ 23.87325

Explanation:

Ciara needs 2 1/2 yards of fabric for the shawl.

i.e. she needs 5/2 yard of fabric for the shawl.

( Since,

`2(1)/(2)=(2* 2+1)/(2)=(5)/(2)\ \text{yards}` )

Also,

She needs 1 7/8 yards of fabric for the dress.

i.e. She needs 15/8 yards of fabric for the dress.

Hence, the total fabric required for dress is:

`(5)/(2)+(15)/(8)\\\\=(5* 4+15)/(8)\\\\=(35)/(8)\ \text{yards}`

She currently has 9/10 of a yard of fabric.

This means that the extra amount of fabric she needs to complete the outfit is:

`=(35)/(8)-(9)/(10)\\\\=(35* 10-9* 8)/(80)\\\\=(350-72)/(80)\\\\=(278)/(80)\\\\=(139)/(40)\\\\=3(19)/(40)\ \text{yard}`

b)

Now she just need to buy 3 19/40 yard of fabric.

i.e. she need to buy 139/40 yard of a fabric.

Cost of 1 yard fabric= $ 6.87

Cost of 139/40 yard of fabric= $ 6.87×(139/40)=$ 23.87325