Bill cut a piece of cloth into 2 pieces. The length of the shorter piece is 5/9 of the longer piece.
A find the ratio of the length of the longer piece to the length of the shorter piece to the total length.
B if the longer piece is 148.6cm longer than the shorter piece.. Find the total length of the original piece of cloth
longer piece ---- x
shorter piece ---- (5/9)x
ratio of longer : shorter : total
= x : (5/9)x : x+ (5/9)x
= x : (5/9)x : (14/9)x
= 1 : 5/9 : (14/9)
= 9 : 5 : 14
B.
if x - (5/9)x = 148.6
then .........
i dont know the answer help me
To solve this problem, let's assign variables to the lengths of the shorter and longer pieces of cloth.
A. Let's say the length of the shorter piece is x. According to the information given, the length of the longer piece is 5/9 times the length of the shorter piece. So, the length of the longer piece is (5/9)x.
The ratio of the length of the longer piece to the length of the shorter piece is ((5/9)x)/x, which simplifies to 5/9.
To find the ratio of the length of the longer piece to the total length, we need to add the length of the shorter and longer pieces. The total length is x + (5/9)x = (14/9)x.
Therefore, the ratio of the length of the longer piece to the total length is ((5/9)x)/((14/9)x), which simplifies to 5/14.
B. In this case, we are given that the longer piece is 148.6cm longer than the shorter piece. So, we can set up an equation:
Length of longer piece = Length of shorter piece + 148.6
Let's say the length of the shorter piece is x. Using the equation, the length of the longer piece is x + 148.6.
To find the total length of the original piece of cloth, we add the length of the shorter and longer pieces:
Total length = Length of shorter piece + Length of longer piece
Total length = x + (x + 148.6)
Simplifying, we get:
Total length = 2x + 148.6
So, the total length of the original piece of cloth is 2x + 148.6 cm.