Assignment #_____
Name: ________________
DIRECTIONS
: You MUST write a system of equations to model each system. Please remember to define
your variables. You may use a graphing calculator to help you solve the system.
1) #The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200
people enter the fair and $5050 is collected. How many children and how many adults attended?
Equations: ________________________
________________________
Solution: ________________________
2) A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4
trees, and totaled $487. The second order was for 6 bushes and 2 trees, and totaled $232. The bills do not
list the peritem price. What were the costs of one bush and of one tree?
Equations: ________________________
________________________
Solution: ________________________
3) A metalworker has some ingots of metal alloy that are 20% copper and others that are 60% copper.
How many kilograms of each type of ingot should the metalworker combine to create 80 kg of a 52%
copper alloy?
Equations: ________________________
________________________
Solution: ________________________
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4) A family is canoeing downstream (with the current). Their speed relative to the banks of the river
averages 2.75 mi/h. During the return trip they paddle upstream (against the current), averaging 1.5 mi/hr.
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 Fall '09
 Johnson
 Algebra, Equations, Kilogram, Oak, Mower

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