maria's mother wants to make 8 curtains that each require 2 1/5 meters of material in a standard width, but she only has 16 1/4 meters. she asks maria to buy more material.
how much more material must maria buy?
2 1/5 = 11/5
8 * 11/5 = 88/5 needed
16 1/4 = 65/4 we have
88/5 * 4/4 = 352/20
65/4 * 5/5 = 325 /20
we need (352 - 325) /20
= 27/20 = 1 7/20
To find out how much more material Maria needs to buy, we need to calculate the total amount of material required for the 8 curtains and subtract it from the amount Maria's mother already has.
Each curtain requires 2 1/5 meters of material, which can be represented as 2 + 1/5 or 11/5 meters.
To find the total amount of material required for 8 curtains, we can multiply the amount required for one curtain by the number of curtains: (11/5) * 8 = 88/5 = 17 3/5 meters.
Maria's mother already has 16 1/4 meters of material. We can convert this to improper fractions, which gives us 16 + 1/4 or 65/4 meters.
To find out how much more material Maria needs to buy, we subtract the amount Maria's mother already has from the total amount required: (17 3/5) - (65/4).
To do this, we need to have a common denominator for the fractions. The least common denominator for 5 and 4 is 20.
Converting 17 3/5 to an improper fraction gives us 17 + 3/5 or 88/5.
Converting 65/4 to a fraction with the denominator 20 gives us (65/4) * (5/5) = 325/20.
Now, we can subtract the fractions: (88/5) - (325/20) = (352/20) - (325/20) = 27/20.
Therefore, Maria needs to buy an additional 27/20 meters of material.
To find out how much more material Maria needs to buy, let's start by calculating the total amount of material required for the 8 curtains.
Each curtain requires 2 1/5 meters of material. Let's convert this into an improper fraction:
2 1/5 = (10/5) + 1/5 = 11/5
Now we can calculate the total amount of material needed for 8 curtains:
11/5 * 8 = 88/5 meters
Next, we need to find out how much material Maria's mother already has. She has 16 1/4 meters, which can be converted to an improper fraction:
16 1/4 = (16 x 4 + 1) / 4 = 65/4
Now, we can subtract the amount of material Maria's mother has from the total amount needed:
88/5 - 65/4
To subtract fractions, we need to find a common denominator. Since the denominators are 5 and 4, the least common multiple (LCM) of 5 and 4 is 20. Let's convert both fractions:
(88/5) x (4/4) = 352/20
(65/4) x (5/5) = 325/20
Now we subtract:
352/20 - 325/20 = (352 - 325) / 20 = 27/20
Therefore, Maria needs to buy an extra 27/20 meters of material.