Answer :
Answer:
Part a) The fraction of the scarf blue will be [tex]\frac{2}{8}[/tex]
Part b) Scarf's red is [tex]\frac{2}{8}[/tex] more than scarf's white
Part c) Scarf's red and green is [tex]\frac{2}{8}[/tex] more than scarf's white and blue
Step-by-step 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
[tex]1=\frac{1}{8} +\frac{2}{8}+\frac{3}{8} +x[/tex]
Solve for x
[tex]1=\frac{6}{8} +x[/tex]
[tex]x=1-\frac{6}{8}[/tex]
[tex]x=\frac{2}{8}[/tex]
Simplify
[tex]\frac{2}{8}=\frac{1}{4}[/tex]
Part b) How much more of scarf is red than white?
we know that
The fraction of red scarf is [tex]\frac{3}{8}[/tex]
The fraction of white scarf is [tex]\frac{1}{8}[/tex]
so
Find the difference
[tex]\frac{3}{8}-\frac{1}{8}=\frac{2}{8}[/tex]
Simplify
[tex]\frac{2}{8}=\frac{1}{4}[/tex]
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 [tex]\frac{3}{8}+\frac{2}{8}=\frac{5}{8}[/tex]
The fraction of white and blue scarf is [tex]\frac{1}{8}+\frac{2}{8}=\frac{3}{8}[/tex]
Find the difference
[tex]\frac{5}{8}-\frac{3}{8}=\frac{2}{8}[/tex]
Simplify
[tex]\frac{2}{8}=\frac{1}{4}[/tex]
Answer:
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
Step-by-step 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