The length of a piece of cloth is 8y m.Mr Lim cut 7 m from it to sew some cushion covers.Then,he cut 3y m to sew a curtain.The remaining material was cut into 4 equal pieces.How long was each piece in terms of y? please help me to complete this&thanks for advance
length left after all the cut offs
= 8y - 7 - 3
= 8y-10
cut into 4 pieces would be (8y-10)/4 m each
or (4y-5)/2 after reducing it to lowest terms
they might have written the answer also as
2y - 5/2 or 2y - 2.5
To find the length of each piece of cloth in terms of y, we need to determine the remaining length after Mr. Lim cuts a total of 7 meters and then 3y meters.
Given that the original length of the cloth is 8y meters, the remaining length is obtained by subtracting 7 meters and 3y meters from it:
Remaining Length = 8y - 7 - 3y
Simplifying, we have:
Remaining Length = (8y - 3y) - 7
Combining like terms, we get:
Remaining Length = 5y - 7
Now, we need to divide the remaining length into four equal pieces. To find the length of each piece, we divide the remaining length by 4:
Length of Each Piece = (5y - 7) / 4
Therefore, each piece of cloth will be (5y - 7) / 4 meters long.
To find out how long each piece is in terms of y, we need to break down the steps and solve it one by one.
Step 1: Determine the initial length of the cloth.
The length of the cloth is given as 8y m.
Step 2: Calculate the length after Mr. Lim cuts 7m from it to sew cushion covers.
When 7m is cut from the cloth, the remaining length will be (8y - 7)m.
Step 3: Calculate the length after Mr. Lim cuts 3y m to sew a curtain.
When 3y m is cut from the remaining cloth, the final length will be (8y - 7 - 3y)m.
Step 4: Calculate the length of each of the 4 equal pieces.
To find the length of each piece, we need to divide the final length by 4.
Length of each piece = (8y - 7 - 3y) m / 4
Simplifying the expression:
= (8y - 3y - 7) m / 4
= (5y - 7) m / 4
So, each piece of the remaining cloth, after cutting for cushion covers and a curtain, is (5y - 7) meters long.