SOLUTION: There are available 10 tons of coal containing 2.5% sulfur and also supplies of coal containing .80% and 1.10% sulfur respectively. How many times of each of the latter should be

Question 902037: There are available 10 tons of coal containing 2.5% sulfur and also supplies of coal containing .80% and 1.10% sulfur respectively. How many times of each of the latter should be mixed with the original 10 tons to give 20 tons
containing 1.7% sulfur?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
x+y=10
.025*10+.008*x+.011*y=20*.017=.34
.25+.008*x+.011*y=.34
.008*x+.011*y=.09
x+y=10,
0.008*x+0.011*y=0.09
x=10-y
0.008*(10-y)+0.011*y=0.09
0.08-0.008y+0.011*y=0.09
0.003*y=0.01
y=3.33333333 at 1.1%
x=10-y
x=6.66666667 at 0.8%
check
0.008*6.66666667+0.011*3.33333333=0.09
0.53333333e-1+0.36666667e-1=0.09
0.09=0.09
ok

RELATED QUESTIONS
You have on hand 800g of 5% coal tar ointment and 1200g of 10% coal tar ointment? How... (answered by richwmiller,Hung,Alan3354)

How many kips (1kilo pound=1000 lb.) of coal are contained in a rectangular coal bin 10... (answered by Solver92311)

Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars... (answered by ikleyn)

thirty percent of the sulfur desiccated. If 42 tons did not desiccate, how much sulfur... (answered by checkley71)

A nationwide sample of influential Republicans and Democrats was asked as a part of a... (answered by jim_thompson5910)

A freight train with 80 cars transports coal and iron ore. Each car carries either 100... (answered by richwmiller)

Ben was hired to shovel 100 tons of caol. He has been shoveling coal at the rate of 16... (answered by ankor@dixie-net.com)

A pile of coal has a rectangular base 50 ft. by 400 ft. If the sides of the pile are all... (answered by Cromlix)