Question 780200: There are two hundred nuts in a can of mixed nuts including peanuts, cashews, almonds, and walnuts. There are twice as many peanuts as cashews, twenty more cashews than almonds, and ten fewer almonds than twice the number of walnuts. How many nuts of each type are there?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! There are two hundred nuts in a can of mixed nuts including peanuts, cashews, almonds, and walnuts. There are twice as many peanuts as cashews, twenty more cashews than almonds, and ten fewer almonds than twice the number of walnuts. How many nuts of each type are there?
***
let w=number of walnuts
2w-10=number of almonds
2w+10+20=2w+10=number of cashews
2(2w+10)=4w+20=number of peanuts
..
w+2w-10+2w+10+4w+20=200
9w=180
w=20
2w-10=30
2w+10=50
4w+20=100
..
number of walnuts=20
number of almonds=30
number of cashews=50
number of peanuts=100
|
|
|
