Question 266453
This is a mixture problem. We can set up the following table.
alloy . . . . . % . . . . . LB . . . . . %lb
40% . . . . . .40 . . . . . . 6 . . . . .240
100% . . . . . 100 . . . . .x . . . . .100x
mixture . . . .62 . . . . .x + 6 . . 62x + 372
Looking at the third column we get
240 + 100x = 62x + 372
subtracting 62x we get
240 - 38x = 372
subtract 240 to get
132 = 38x
divide to get
x = 3.4736