A tailor made 48 pieces of uniform. Half of the number of the uniforms was each made using 1 1⁄4 meters of material. A quarter of the remainder was each made using 1 1⁄2 meters of material and the rest was each made using 1 3⁄4 meters of material. The tailor also fixed a logo made using 1 1/6 meters of material in each uniform. How many meters of material did the tailor use?
24*(1 1/4) + 6*(1 1/2) + 18*(1 3/4) + 48*(1 1/6) = 126 1/2 meters
1 1/6 meters -- that's some logo!
To solve this problem, we need to find the total amount of material used to make the uniforms.
Let's break down the information given step by step:
1) The tailor made 48 pieces of uniform.
2) Half of the uniforms were made using 1 1/4 meters of material:
Number of uniforms = 48/2 = 24
Material used for half of the uniforms = 24 * (1 1/4) = 24 * (5/4) = 120/4 = 30 meters
Now, we need to find the remaining materials used:
3) A quarter of the remainder (uniforms that haven't been accounted for yet) was each made using 1 1/2 meters of material:
Remaining uniforms = 48 - 24 = 24
Number of uniforms using 1 1/2 meters material = 24/4 = 6
Material used for these uniforms = 6 * (1 1/2) = 6 * (3/2) = 9 meters
4) The rest of the uniforms were each made using 1 3/4 meters of material:
Remaining uniforms = 24 - 6 = 18
Material used for these uniforms = 18 * (1 3/4) = 18 * (7/4) = 31.5 meters
5) The tailor also fixed a logo made using 1 1/6 meters of material in each uniform:
Material used for logos = 48 * (1 1/6) = 48 * (7/6) = 56 meters
Finally, we can calculate the total amount of material used by summing up all the values:
Total material used = Material for half uniforms + Material for remaining uniforms using 1 1/2 meters + Material for remaining uniforms using 1 3/4 meters + Material for logos
Total material used = 30 + 9 + 31.5 + 56 = 126.5 meters
Therefore, the tailor used 126.5 meters of material to make the uniforms.