Trident University
Rafael E. Martinez
MAT101  College Mathematics
Module 2 Case Assignment
Dr. Gregory Dlabach
Systems of Equations (Part I)
Answer the question and solve the problems below. Make sure you show all your work so you can get partial
credit even if you get the final answer wrong.
1. Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $123.00 for 3
days and 300 miles, while Mary was charged $216.00 for 5 days and 600 miles. What does Best Rental charge
per day, for mileage?
X = daily fee and Y = mileage fee
3x + 300y = 123 5x + 600y = 216
(3x+300y = 123)(2) 5x + 600y + 216
x = 30 then x = $30.00
3(30) +300y=123 / 300y=33 then y=$0.11 so then daily fee = $30.00 and mileage fee = $0.11
2. There were 44,000 people at a ball game in Los Angeles. The day's receipts were $369,000. How many
people paid $ 13.00 for reserved seats and how many paid $6.00 for general admission?
X= reserved seats
Y= general admissions
x+y = 44000
13x + 6y = 369000
Y = 44000 X
13x + 6(44000 – x) = 369000
7x = 105000 then X = 15000
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View Full DocumentY = 44000 – 15000 then Y = 29000
3. Solve the system of equations x + 3y = 32, 3x + 2y = 8
x + 3y = 32 multiply by 3
3x + 2y = 8
3x+9y=96
3x + 2y = 8
11y=104
y=9.4
x=323y
x=323*9.4
x=3228.2
x=3.8
4. Solve the system of equations x + y = 6, x  y = 7
x=6y.
(6y)y=7
yy=76
2y=13
y=13/2=6.5
x+(13/2)=6
x=6(13/2)
x=1/2=0.5
5. During the 19981999 Little League season, the Tigers played 56 games. They won 12 more games than they
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 Spring '12
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 Systems Of Equations, Equations, Simultaneous Equations, Elementary algebra, 2

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