Sisters HW (test) help
8)
A rug is made by weaving 20lbs of yarn that is 50% wool with a yarn that is 25% wool. How many pounds of the 25% wool must be used if the finished rug is to be 35% wool?
thanks
Sean
A rug is made by weaving 20lbs of yarn that is 50% wool with a yarn that is 25% wool. How many pounds of the 25% wool must be used if the finished rug is to be 35% wool?
thanks
Sean
It's a weighted average
x = number of lbs of 35% yarn needed
20 lbs of yarn*0.5 wool + x lbs of yarn*0.35 wool = number of pounds of wool in rug
20 + x = total weight of rug
You want (number of pounds of wool in rug)/ (total weight of rug) = 0.35
So if you solve this you get 30 lbs
x = number of lbs of 35% yarn needed
20 lbs of yarn*0.5 wool + x lbs of yarn*0.35 wool = number of pounds of wool in rug
20 + x = total weight of rug
You want (number of pounds of wool in rug)/ (total weight of rug) = 0.35
So if you solve this you get 30 lbs
Originally Posted by Kestrel
It's a weighted average
x = number of lbs of 35% yarn needed
20 lbs of yarn*0.5 wool + x lbs of yarn*0.35 wool = number of pounds of wool in rug
20 + x = total weight of rug
You want (number of pounds of wool in rug)/ (total weight of rug) = 0.35
So if you solve this you get 30 lbs
x = number of lbs of 35% yarn needed
20 lbs of yarn*0.5 wool + x lbs of yarn*0.35 wool = number of pounds of wool in rug
20 + x = total weight of rug
You want (number of pounds of wool in rug)/ (total weight of rug) = 0.35
So if you solve this you get 30 lbs


