SOLUTION: After inheriting some money, a woman wants to invest enough to have an annual income of $5,000. If she can invest $20,000 at 8% annual interest, how much more will she have to inve

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Question 832557: After inheriting some money, a woman wants to invest enough to have an annual income of $5,000. If she can invest $20,000 at 8% annual interest, how much more will she have to invest at 7% to achieve her goal? (See the table. Round your answer to the nearest cent.
How many gallons of cream that is 22% butterfat must be mixed with milk that is 2% butterfat to get 20 gallons of milk containing 4% butterfat?

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Both of these may be considered mixture problems.

The investment question:

Target income is 5000 dollars.
20000%2A0.08%2Bx%2A0.07=5000, looking at the sum of the interests for a year.
0.07x=5000-20000%2A0.08
x=%281%2F0.07%29%281000%29%285-20%2A0.08%29
x=%281000%29%283.4%29%2F0.07=3400%2F0.07=340000%2F7
x=48571 dollars


The cream fat blending question:

"Mixing two concentrations for known amount of mixture"
----Find this lesson in my profile's lessons link.
2%2Au%2B22%2Av=4%2A20 and u%2Bv=20