C6L4 Notes
Applications of Linear Systems
Write a system of equations that can be used to answer the question(s).
Solve the system. Then, answer the question(s).
1. A bakery sells two types of cupcakes: chocolate chip and blueberry. A
chocolate chip cupcake sells for S3 and a blueberry cupcake sells for $2.
In one day, the store sold 27 cupcakes for a total of $73. How many
chocolate chip cupcakes did the bakery sell?
1C. +16 = 27
3c -^26 -73
2. Suppose you start an ice cream business. You buy a freezer for $200.
It costs you $0.45 to make each single-scoop ice cream cone. You well
each cone for $1.25. How many cones do you need to sell to break even?
- 300+0,
-o, ^b y -o
2 oo - 0,
i eg
3. You have a jar of nickels and quarters. You want to choose 15 coins that are
worth exactly $2.95. How many nickels are in the jar? How many quarters are in
the ar?
J
0.20 a = £
/I
-^
n
4. You row upstream at a speed of 2 mi/h. You travel the same distance
downstream at a speed of 5 mi/h. What would be your rowing speed in still water?
What is the speed of the current?
speeo^ 2.5
5. The local zoo is filling two water tanks for the elephant exhibit. One water tank
contains 29 gallons of water and is filled at a constant rate of 10 gal/h. The second
water tank contains 50 gallons of water is filled at a constant rate of 3 gal/h. When
will the two tanks have the same amount of water?
3