There are 16m of ribbon to be cut into pieces. Each piece , of 8/12 in length , will be given to a girl participant of the school's cheering squad. How many girls will be given a piece of ribbon?
Please help me . Thanks
8/12 = 2/3
That means that for each 2 meters of ribbon, 3 girls get a piece.
Since 16 = 2*8, 3*8=24 girls will get a piece.
Or, 16/(2/3) = 16 * 3/2 = 24
To find out how many girls will be given a piece of ribbon, we need to divide the total length of the ribbon by the length of each piece.
First, let's convert the length of each piece to a common denominator. Since the lengths are given in different fractions, we need to find a common denominator that both 8 and 12 can be evenly divided by. The least common multiple (LCM) of 8 and 12 is 24.
Now, we can convert the length of each piece to 24ths.
8/12 = (8/12) * (2/2) = 16/24
So, each piece has a length of 16/24 inches.
Next, we divide the total length of the ribbon (16m) by the length of each piece (16/24 inches).
Remember that 1 meter is equal to 39.37 inches. Therefore, 16 meters is equal to 16 * 39.37 = 629.92 inches.
Now, we divide the total length of the ribbon (629.92 inches) by the length of each piece (16/24 inches).
629.92 / (16/24) = 629.92 * (24/16)
= (629.92 * 24) / 16
= 9448.68 / 16
= 590.54
Therefore, 590.54 girls will be given a piece of the ribbon.
However, since you cannot have a decimal part of a person, we need to round down to the nearest whole number.
So, a total of 590 girls will be given a piece of ribbon.