Expert: Lynn Houston - 7/8/2009

Question
Problem #1
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 remainder 2.25%, then how much did she invest at each rate?

Problem #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 adult tickets as student tickets were sold, then how many of each were sold?

Answer
x=amt invested at 4%  y=amt invested at 2.25%

x+y= 33000  (x=33000-y)
.04x + .0225y = 970
.04(33000-y) + .0225y = 970
1320 -.04y + .0225y = 970
1320 -970 = .0175y
350/.0175 = y
y = 20000, therefore x = 13000


a = adult tickets   s = student tickets

3a+2s = 824
a = 2s

6s+2s = 824
8s = 824
s = 103, therefore a = 206