SOLUTION: #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
Algebra.Com
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%)
==================================================
#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?
--------------------
Since adult tickets are more numerous a = 2s
-----------
ValueEquation:
2s + 3(2s) = 824
8s = 824
s = 103 (# of students tickets sold)
a = 2s = 206 (# of adult tickets sold)
===========================
Cheers,
Stan H.
RELATED QUESTIONS
Investing her bonus. Donna invested her $33,000 bonus and received a total of $970 in... (answered by checkley77)
92. Investing her bonus. Donna invested her $33,000 bonus and received a total of $970... (answered by checkley77)
92. Investing her bonus. Donna invested her $33,000 bonus
and received a total of $970... (answered by RAY100)
Investing her bonus. Donna invested her $33,000 bonus and received a total of $970 in... (answered by checkley75)
Donna invested her $33,000 bonus and received a total of $970 in interest after one year. (answered by checkley77)
Donna invested her $33,000 bonus and received a total of $970 in interest after one year. (answered by checkley77)
Donna invested her $33,000 bonus and received a total of $970 in interest after one year. (answered by checkley77)
Donna invested her 33000 bonus, and received a total of 970 in interest after one year.... (answered by josmiceli)
Donna invested her $33,000 bonus and received a total of $970 in interest after one... (answered by checkley77)
Donna invested her $33,000 bonus
and received a total of $970 in interest after one... (answered by checkley77)