6.4 Day 1 - Applications of Systems.notebook

6.4 Day 1 ­ Applications of Systems.notebook
6.4 Day 1: Applications of Systems
February 08, 2016
Date: 2/8
For all word problems, define your variables, write a system of two
equations, solve the system using either substitution or elimination, and
answer with a sentence.
Coin Problems
1. Kim has 40 coins worth a total of $8.80. Some of the coins are nickels,
and the others are quarters. How many of each coin does Kim have?
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6.4 Day 1 ­ Applications of Systems.notebook
February 08, 2016
2. You have a jar of pennies and quarters. You want to choose 15
coins that are worth exactly $4.35.
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6.4 Day 1 ­ Applications of Systems.notebook
February 08, 2016
Breaking Even Problems
3. A carpenter makes and sells rocking chairs. The material for each
chair costs $22.50. The chairs sell for $75 each. If the carpenter spends
$420 on advertising, how many chairs must she sell to break even?
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6.4 Day 1 ­ Applications of Systems.notebook
February 08, 2016
4. A puzzle expert wrote a new Sudoku puzzle book. His initial costs are
$864. Binding and packaging each book costs $0.80. The price of the
book is $2. How many copies must be sold to break even?
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6.4 Day 1 ­ Applications of Systems.notebook
February 08, 2016
Check for Viable Solutions
5. Dylan is filling a 20­gallon tank and a 30­gallon tank for his fish display.
The 20­gallon tank contains 4 gallons of water and is filled at a constant
rate of 10 gallons per hour. The 30­gallon tank contains 13 gallons of
water and is filled at a constant rate of 7 gallons per hour. When will the
two tanks have the same amount of water?
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6.4 Day 1 ­ Applications of Systems.notebook
February 08, 2016
Homework:
6.4 Practice Worksheet #1
no book needed until Thursday
Chapter 6 Test ­ next Wednesday
MathXL due next Wednesday
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