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Question 177715: #1.Paul invested his $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 he invest at each rate?
#2. Adult tickets were sold for $3 and student tickets sold at $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 by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! #1.Paul invested his $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 he invest at each rate?
Interest Equation:
interest + interest = interest
0.04x + 0.0225(33000-x) = 970
Multiply thru by 100 to get:
4x + 2.25(33000) -2.25x = 97000
4x + 74250 - 2.25x = 97000
1.75x = 22750
x = 13000 (amt. invested at 4%)
33000-x = 20,000 (amt. invested at 2.25%)
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#2. Adult tickets were sold for $3 and student tickets sold at $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?
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Since adult tickets are more numerous a = 2s
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ValueEquation:
2s + 3(2s) = 824
8s = 824
s = 103 (# of students tickets sold)
a = 2s = 206 (# of adult tickets sold)
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Cheers,
Stan H.
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