Longer: 6.75ft
Shorter: 6.25ft
If a piece of wire was cut into 2 pieces in the ratio 7:8 and the shorter piece was 14cm, then the length of the longer piece will 16cm.
piece a has a greater length than piece b (a>b)
x the length of the shorter piece 3·x the length of the longer piece x + 3·x the length of the whole board = 4·x = 76" x = 76" / 4 = 19.
Length of the longer piece is 5/9 of 27 feet. So, Length of longer piece = {5/(4+5)}x27 = {5/9}x27 = 15 feet.
Let the length of the shorter piece be x feet. Therefore, the length of the longer piece would be x + 1 feet. Since the total length of the ribbon is 9 feet, we can write the equation x + (x + 1) = 9. Solving this equation, we find that the shorter piece is 4 feet long and the longer piece is 5 feet long.
Write an equation and solve it. Call the length of the shorter piece "x", in this case, the longer piece is "3x". The sum of the two is equal to 116 inches.
Total length = 16ft Let the longer piece = x ft Let the other piece = (16-x)ft equation, x - 2(16-x) = 1 x - 32 + 2x = 1 3x = 33 x = 11ft 16-x = 5ft Longer piece = 11ft shorter piece = 5ft
If the original meterstick was broken into two pieces, and one piece is 54 cm long, then the other piece would be the total length of the meterstick (100 cm) minus the length of the first piece. Therefore, the length of the other piece would be 100 cm - 54 cm = 46 cm.
Oh, what a happy little problem we have here! If we let the length of the shorter piece be x inches, then the longer piece would be 3x inches. Since the total length is 80 inches, we can set up the equation x + 3x = 80 and solve for x. The shorter piece is 20 inches long and the longer piece is 60 inches long. It's just that easy!
3x + 12 + x = 21
Here is how to solve this type of problem: Since you have 2 pieces that add up to 130 figure out what they would be if they were of equal length. If one piece is 26 feet longer than the other that means one piece is half of 26 longer than half of 130, the other is shorter by the same amount, so... 130/2=65 26/2=13 65+13=78 65-13=52 Lets see if that adds up. 78+52=130, so that's good. 78-52=26 so that is good as well. One piece is 78 feet long, the other is 52.
A bit longer than this piece of string!