Systems of Equations Word Problems Notes.notebook

1

September 25, 2013

Sep 12­9:31 PM

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?

Systems of Equations Word Problems Notes.notebook

2

September 25, 2013

Sep 12­9:33 PM

The Lakers scored a total of 80 points in a basketball game against the Bulls. The Lakers made a total of 37 two­point and three­point baskets. How many two­point shots did the Lakers make? How many three­point shots did the Lakers make?

Systems of Equations Word Problems Notes.notebook

3

September 25, 2013

Sep 12­9:35 PM

You’re going to the mall with your friends and you have $200 to spend from your recent birthday money. You discover a store that has all jeans for $25 and all dresses for $50. You really, really want to take home 6 items of clothing because you “need” that many new things. Wouldn’t it be clever to find out how many pairs of jeans and how many dresses you can buy so you use the whole $200 (tax not included – your parents promised to pay the tax)?

Systems of Equations Word Problems Notes.notebook

4

September 25, 2013

Sep 12­9:36 PM

Systems of Equations Word Problems Notes.notebook

5

September 25, 2013

Sep 12­9:41 PM

During a football game, the parents of the football players sell pizza for $3 a slice and hotdogs for $2 each. They collected $135 in sales during the game from selling pizza and hotdogs. They sold three times as many hotdogs as slices of pizza. Write and solve a system of linear equations to find the number of hotdogs sold and the number of slices of pizza sold.

Systems of Equations Word Problems Notes.notebook

6

September 25, 2013

Sep 12­9:42 PM

Tickets for admission to a high school football game cost $3 for students and $5 for adults. During one game, $2995 was collected from the sale of 729 tickets. Write and solve a system of linear equations to find the number of tickets sold to students and the number of students sold to adults.

Systems of Equations Word Problems Notes.notebook

7

September 25, 2013

Sep 25­10:42 AM

Systems of Equations Word Problems Notes.notebook

8

September 25, 2013

Sep 25­10:42 AM

Systems of Equations Word Problems Notes.notebook

9

September 25, 2013

Sep 17­9:18 AM

Systems of Equations Word Problems Notes.notebook

10

September 25, 2013

Sep 17­12:43 PM

Systems of Equations Word Problems Notes.notebook

11

September 25, 2013

Sep 17­7:56 PM

A vendor sells hot dogs, chips, and drinks. a customer buys 2 hot dogs, 5 chips, and 2 drinks for 10.50.

The price of 1 hot dog is $0.50 more than price of 1 chips. 1 drink is $1.75 less than the price of 2 hot dogs. Find the cost of each item by setting up a system of equations and solving.

Systems of Equations Word Problems Notes.notebook

12

September 25, 2013

Sep 18­8:11 AM

Systems of Equations Word Problems Notes.notebook

13

September 25, 2013

Sep 17­7:58 PM

Marina had $24,500 to invest. She divided the money into three different accounts. At the end of the year, she had made $1,300 in interest. The annual yield on each of the three accounts was 4%, 5.5%, and 6%. If the amount of money in the 4% account was four times the amount of money in the 5.5% account, how much had she placed in each account?

Let x = amount in 4% account; y = amount in 5.5% account; z = amount in 6% account.Equations: x + y+ z=24,5000.04x + 0.055y + 0.06z = 1300x = 4y

$8000 was invested at 4%$2000 was invested at 5.5%$14,500 was invested at 6%

Systems of Equations Word Problems Notes.notebook

14

September 25, 2013

Sep 17­7:58 PM

The Arcadium arcade in Lynchburg, Tennessee uses 3 different colored tokens for their game machines. For $20 you can purchase any of the following mixtures of tokens: 14 gold, 20 silver, and 24 bronze; OR, 20 gold, 15 silver, and 19 bronze; OR, 30 gold, 5 silver, and 13 bronze. What is the monetary value of each token?

Let g = number of gold tokens, s = number of silver tokens, and b = number of bronze tokens.Equations: 14g + 20s + 24b = 2020g + 15s + 19b = 2030g + 5s + 13b = 20

gold tokens are worth $.50silver tokens are worth $.35bronze tokens are worth $.25

Systems of Equations Word Problems Notes.notebook

15

September 25, 2013

Sep 17­7:59 PM

Billy’s Restaurant ordered 200 flowers for Mother’s Day. They ordered carnations at $1.50 each, roses at $5.75 each, and daisies at $2.60 each. They ordered mostly carnations, and 20 fewer roses than daisies. The total order came to $589.50. How many of each type of flower was ordered?

Let c = number of carnations; r = number of roses; and d = number of daisies.Equations: c + r + d = 200r = d ­ 201.50c + 5.75r + 2.60d = 589.50

80 carnations50 roses70 daisies

Systems of Equations Word Problems Notes.notebook

16

September 25, 2013

Sep 17­8:00 PM

Last Tuesday, Regal Cinemas sold a total of 8500 movie tickets. Proceeds totaled $64,600. Tickets can be bought in one of 3 ways: a matinee admission costs $5, student admission is $6 all day, and regular admissions are $8.50. How many of each type of ticket was sold if twice as many student tickets were sold as matinee tickets?

Let r = number of regular admission tickets, s = number of student admission tickets, and m = number of matinee admission tickets.Equations:

r + s + m = 8,5008.5r + 6s + 5m = 64,600s = 2m

5800 regular tickets1800 student tickets900 matinee tickets