Question 315151: 2.Salisbury High School decided to take their students on a field trip to a theme park. A total of 150 people went on the trip. Adults pay $45.00 for a ticket and students pay $28.50 for a ticket. How many students and how many adults went to the park if they paid a total of $4770?
3.Your piggy bank has a total of 46 coins in it; some are dimes and some are quarters. If you have a total of $7.00, how many quarters and how many dimes do you have?
Answer by checkley77(12844)   (Show Source):
You can put this solution on YOUR website! A+S=150 OR A=150-S
45A+28.50S=4,770
45(150-S)+28.50S=4,770
6,750-45S+28.50S=4,770
-16.50S=4,770-6,750
-16.50S=-1,980
S=-1,980/-16.50
S=120 STUDENT TICKETS WERE SOLD.
150-120=30 ADULT TICKETS WERE SOLD.
PROOF:
45*30+28.50*120=4,770
1,350+3,420=4,770
4,770=4,770
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D+Q=46 OR D=46-Q
.10D+.25Q=7
.10(46-Q)+.25Q=7
4.6-.10Q+.25Q=7
.15Q=7-4.6
.15Q=2.4
Q=2.4/.15
Q=16 QUARTERS.
D=46-16=30 DIMES.
PROOF:
.10*30+.25*16=7
3+4=7
7=7
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