A 1313-foot piece of string is cut into two pieces so that the longer piece is 44 feetfeet longer than twice the shorter piece.

Question

3 years ago

5

If the shorter piece is x feet long, find the lengths of both pieces

1 answer:

Kitty [74] · Answer 1 · 2021-12-11T22:28:44+03:00

Answer:

423

Step-by-step explanation:

Start by setting up a formula.

x = the shorter piece

total = 1313

longer piece = (x*2) + 44

x + (x*2) + 44 = 1313

Simplify

3x + 44 = 1313

Now we must solve for x.

Whatever you do on the left side of the equal sign must also be done on the right.

The goal is to get x by itself on the left side.

Do the easiest thing first, which is usually addition or subtraction. In this case, subtract 44 from both sides.

3x + 44 - 44 = 1313 - 44

3x = 1269

Now the only way to cancel out the 3 on the left is to divide by 3. Since 3/3 =1. Remember this must be done on both sides to keep things equal.

3x/3 = 1269/3

x=423

The End

A 1313​-foot piece of string is cut into two pieces so that the longer piece is 44 feetfeet longer than twice the shorter piece.