SOLUTION: metallurgist has one alloy containing 23% titanium and another containing 51% titanium. How many pounds of each alloy must he use to make 56 pounds of a third alloy containing 47%

Question 1153659: metallurgist has one alloy containing 23% titanium and another containing 51% titanium. How many pounds of each alloy must he use to make 56 pounds of a third alloy containing 47% titanium? (Round to two decimal places if necessary.)

Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
H=51 percent
L=23 percent
T=47 percent
M=56 pounds
v=56 pounds, (unknown)
M-v, pounds unknown also for L concentration material

Just substitute your given values and evaluate v and M-v.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

A quick and easy non-algebraic path to the answer to this problem and a wide variety of similar "mixture" problems....

Look at the percentages 23, 47 and 51 on a number line.
47 is 24/28 = 6/7 of the way from 23 to 51.
That means 6/7 of the mixture is the 51% alloy.

With a total of 56 pounds, that means 48 pounds of the 51% alloy an 8 pounds of the 23% alloy.

RELATED QUESTIONS
A metallurgist has one alloy containing 23% titanium and another containing 51% titanium. (answered by Alan3354,josgarithmetic)
A metallurgist has one alloy containing 21% titanium and another containing 63% titanium. (answered by ankor@dixie-net.com)
A metallurgist has one alloy containing 28% titanium and another containing 45% titanium. (answered by ewatrrr)
A metallurgist has one alloy containing 49% copper and another containing 62% copper. How (answered by ikleyn)
A metallurgist has one alloy containing 22% copper and another containing 53% copper. How (answered by ikleyn)
A metallurgist has one alloy containing 22% copper and another containing 53% copper. How (answered by ikleyn)
A metallurgist has one alloy containing 22% copper and another containing 53% copper. How (answered by ikleyn)
a metallurgist has an alloy containing 26% aluminum and another containing 56% aluminum.... (answered by josgarithmetic)
A metallurgist has one alloy containing 40% aluminum and another contained 57% aluminum. (answered by Fombitz)