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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?

ciara is making a new outfit She needs 2 12 yards of fabric for the shawl She needs 1 78 yards of fabric for the dress if she currently has 910 of a yard of fab class=

Respuesta :

LazyHero
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:

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

              [tex]3\dfrac{19}{40}\ \text{yard}[/tex]

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

                     $ 23.87325

Step-by-step 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,

[tex]2\dfrac{1}{2}=\dfrac{2\times 2+1}{2}=\dfrac{5}{2}\ \text{yards}[/tex] )

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:

[tex]\dfrac{5}{2}+\dfrac{15}{8}\\\\=\dfrac{5\times 4+15}{8}\\\\=\dfrac{35}{8}\ \text{yards}[/tex]

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:

         [tex]=\dfrac{35}{8}-\dfrac{9}{10}\\\\=\dfrac{35\times 10-9\times 8}{80}\\\\=\dfrac{350-72}{80}\\\\=\dfrac{278}{80}\\\\=\dfrac{139}{40}\\\\=3\dfrac{19}{40}\ \text{yard}[/tex]

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

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