Question

Alita is knitting a scarf. She will make 1/8 of it using white yarn, 2/8 using green yarn, 3/8 using red yarn, and the rest of the scarf will be made with blue yarn. What fraction of the scarf will be blue? Show your work. how much more of scarf is red than white? show your work. how much more of the scarf is red and green than white and blue?show work.

Answer 1

a.The fraction of the scarf blue is 2/8

b. There is 2/8 more of red than white

c. There is 2/8 more of red and green than white and blue

Explanation:

Scarf = white yarn+green yarn+ red yarn+blue yarn

Scarf = 1/8+3/8+3/8+Blue

The scarf is 1 , and we can say that is the same as 8/8 ( we choose the same denominator that the other fraction)

8/8= 1/8+2/8+3/8+Blue

Blue= 8/8-1/8-3/8-3/8

Blue= 8/8-6/8

Blue= 2/8

b.

Difference between red and white, we have to rest both fraction

Diff = red yarn- white yarn

Diff= 3/8-1/8= 2/8

c.

red and green= 3/8+2/8= 5/8

white and blue=1/8+2/8= 3/8

Difference=5/8-3/8= 2/8

Answer 2

Part a) The fraction of the scarf blue will be
`(2)/(8)`

Part b) Scarf's red is
`(2)/(8)` more than scarf's white

Part c) Scarf's red and green is
`(2)/(8)` more than scarf's white and blue

Explanation:

Part a) What fraction of the scarf will be blue?

Let

x------> fraction of the scarf that is blue

we know that

The linear equation that represent this situation is

`1=(1)/(8) +(2)/(8)+(3)/(8) +x`

Solve for x

`1=(6)/(8) +x`

`x=1-(6)/(8)`

`x=(2)/(8)`

Simplify

`(2)/(8)=(1)/(4)`

Part b) How much more of scarf is red than white?

we know that

The fraction of red scarf is
`(3)/(8)`

The fraction of white scarf is
`(1)/(8)`

so

Find the difference

`(3)/(8)-(1)/(8)=(2)/(8)`

Simplify

`(2)/(8)=(1)/(4)`

Part c) How much more of the scarf is red and green than white and blue?

we know that

The fraction of red and green scarf is
`(3)/(8)+(2)/(8)=(5)/(8)`

The fraction of white and blue scarf is
`(1)/(8)+(2)/(8)=(3)/(8)`

Find the difference

`(5)/(8)-(3)/(8)=(2)/(8)`

Simplify

`(2)/(8)=(1)/(4)`