SOLUTION: TAB2 need help on word problem 1.Investing her bonus. Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4

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Question 200704: TAB2 need help on word problem
1.Investing her bonus. Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the reminder 2.25% then how much did she invest at each rate?

2.Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adults tickets as students tickets were sold, then how many of each were sold?
please show work
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
1) .04x+.0225(33000-x)+970
.04x-.0225x+742.5=970
.0175x=227.5
x=13000
.04(13000)=$520
.0225(20000)=$450
total=$970
2) students=x
adults=2x
2x+3(2x)=824
8x=824
x=103
103 students =$206
206 adults =$618
total =$824