Half of Robert's piece of wire is equal to ⅔ of Maria's wire. The total length of their wires is 12 feet. How much longer is Robert's wire than Maria's?

Robert's piece of wire is 5 feet long

and Maria's piece of wires is 7 feet long

Step-by-step explanation:

Suppose x and y are Robert's and Maria's piece of wires respectively.

We can write following equation using this statement "Half of Robert's piece of wire is equal to ⅔ of Maria's wire".

 --------------(1)

The total length of their wires is 12 feet.

------------(2)

=>

Substitute x=12-y in equation (1)

Put y=7 in equation (2)

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

step-by-step explanation: