Phoenix fabrics had five odd pieces of fabric that it put on sale for $120. The pieces measure 1 3/4, 2 1/8 yard, 3 3/8 yard, and 2 1/4 yard. What was the average selling price per yard?
2007-08-30 13:21:08 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Add them up, add them up.
BTW: what is the length of the 5th piece?
Add up the lengths. Then divide $120 by the result.
2007-08-30 13:28:56 · answer #1 · answered by cattbarf 7 · 0⤊ 0⤋
You're going to need to find the total yardage and then divide by the price to find the price per yard.
1. Convert the mixed fractions to improper fractions. (Multiplying the whole number by the denominator, add it to the numerator, and put the sum over the denominator)
So 1 3/4 becomes 7/4 (1*4 = 4; 4 + 3 = 7; 7 over 4)
2 1/8 becomes 17/8 (2*8 = 16; 16 +1 = 17; 17 over 8)
Do the rest and now the problem reads:
7/4 + 17/8 + 27/8 + 9/4
2. Find the lowest common denominator so that you can add. In this case we should use 8. Multiply the top and bottom of the fractions with a denominator of 4 by 2.
14/8 + 17/8 + 27/8 + 18/8
3. Add the numerators and keep the denominator to get...76/8
So, you got 76/8 yards of fabric...let's simplify that - the lowest common multiple of 76 and 8 is 4, so that can be simplified to 19/2
4. Divide the total yardage by the price - How do you divide a whole number by a fraction? Why it's easy, you convert the whole number to a fraction (120/1) and you multiple it by the reciprocal of the fration (i.e. you flip it over and multiply! isn't that fun?)
120/1 * 2/19 = 240/19
And 240 divided by 19 is $12.63 per yard.
2007-08-30 20:51:07 · answer #2 · answered by Kirby00 2 · 0⤊ 0⤋
Let the cost per yard =x
So(1 3/4+ 2 1/8 +3 3/8 +2 1/4 )x=120
or (7/4+17/8+27/8+9/4)x=120
or9.5x=120
or x=12.63
2007-08-31 01:14:47 · answer #3 · answered by Sumita T 3 · 0⤊ 0⤋
We kind of need the length of the fifth piece...
Assuming it was a mistype and you meant 4 pieces...
I always liked decimals, so:
1 3/4, 2 1/8 yard, 3 3/8 yard, and 2 1/4
1.75, 2.125, 3.375, 2.25
Find out how many yards we have
1.75 + 2.125 + 3.375 + 2.25 = 9.5 yards
120 Dollars
9.5 Yards
We're going for Dollar per Yard, right?
So D/Y, or 120/9.5
120 / 9.5 = 12.63 per yard, with fractions of a penny left over
2007-08-30 20:31:28 · answer #4 · answered by saberhilt 4 · 0⤊ 0⤋
The average selling price per yard is the selling price divided by the total number of yards.
So you just need to do some addition (the yards) followed by some division.
2007-08-30 20:29:04 · answer #5 · answered by SV 5 · 0⤊ 0⤋
Start by adding up all the sizes. This isn't difficult; you will need a common denominator, but that is simply 1/8. The difficulty here is that the problem alleges that five remnants were available, but only four sizes are given.
2007-08-30 20:33:36 · answer #6 · answered by Anonymous · 0⤊ 0⤋
Key word "average" so add them then divide
9.5/120 = ?
BTW, was it four or five?
2007-08-30 20:31:57 · answer #7 · answered by thehazmater 2 · 0⤊ 0⤋
how long is the 5th peice?
2007-08-30 20:30:26 · answer #8 · answered by Mimi 3 · 0⤊ 0⤋