SOLUTION: Mr. C can invest one sum of money at 7% and a second sum @ 10% and get $640 per year. If he invests his first sum at 10% and the second @ 7% he will make $550 per year. How much

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Mr. C can invest one sum of money at 7% and a second sum @ 10% and get $640 per year. If he invests his first sum at 10% and the second @ 7% he will make $550 per year. How much       Log On

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Question 28376: Mr. C can invest one sum of money at 7% and a second sum @ 10% and get $640 per year. If he invests his first sum at 10% and the second @ 7% he will make $550 per year. How much is he going to invest in the separate accounts?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
.07+%2A+a+%2B+.10+%2A+b+=+640
.10+%2A+a+%2B+.07+%2A+b+=+550
multiply both sides of each equation by 100
7+%2A+a+%2B+10+%2A+b+=+64000
10+%2A+a+%2B+7+%2A+b+=+55000
multiply both sides of the 2nd equation by 7/10
7a+%2B+%2849%2F10%29+%2A+b+=+38500
subtract from the 1st equation
10+%2A+b+-+4.9+%2A+b+=+15500
5.5+%2A+b+=+25500
b+=+5000
substitute in the 1st equation
7+%2A+a+%2B+50000+=+64000
7+%2A+a+=+14000
a+=+2000
these are the amounts to be invested in dollars