A 26 inch ribbon is cut into three pieces. One piece is 12 inches. The remaining two pieces must have one piece two inches longer than the other. How long is the shortest piece of ribbon?
26 - 12 = 14
x + x-2 = 14
Take it from there.
Shortest is 6inches , first is 12inches, second is 8inches(which 2 inches longer)
The length of two ropes are in the ratio 7/5 find the length of shorter rope if the longer one is 22.5 m
To find the length of the shortest piece of ribbon, we need to set up an equation based on the given information.
Let's assume the length of the shortest piece of ribbon is x inches.
According to the problem, the longest piece of ribbon is 12 inches, which means the middle piece of ribbon is 2 inches longer than the shortest piece. Therefore, the length of the middle piece can be expressed as (x + 2) inches.
We know that the sum of the lengths of the three pieces of ribbon should equal the total length of the original ribbon, which is 26 inches.
So, we can set up the equation:
x + (x + 2) + 12 = 26
By simplifying the equation, we get:
2x + 14 = 26
To solve for x, we can subtract 14 from both sides of the equation:
2x = 26 - 14
2x = 12
Finally, we can divide both sides of the equation by 2 to solve for x:
x = 6
Therefore, the shortest piece of ribbon is 6 inches long.