Question

Emma buys 3 2/3 yards of blue fabric and some yellow yellow fabric at the store she buys a total of 5 1/3 yards of fabric the equation 5 1/3 equals 3 2/3+ addition why can be used to represent a situation where why is the number of yards of yellow fabric she buys how much yellow fabric does she buy

Answer 1

`x=2(2)/(3)\ yards`

Explanation:

Let x yards be the amount of yellow fabric Emma buys.

Emma buys

• 3 2/3 yards of blue fabric;
• x yards of yellow yellow fabric;
• total of 5 1/3 yards of fabric.

The total of blue fabric and yellow fabric is

`3(2)/(3)+x\ yards`

The total is the same, so

`3(2)/(3)+x=5(1)/(3)`

Solve this equation. Use addition property of equality:

`3(2)/(3)+x-3(2)/(3)=5(1)/(3)-2(2)/(3)\\ \\x=3(1)/(3)-(2)/(3)\\ \\x=3-(1)/(3)\\ \\x=2(2)/(3)\ yards`