Word Problems
Brenda school is selling tickets to a spring musical. On the first day of ticket sales the school sold three senior citizen tickets and nine child tickets for a total of $75. The school took in $67 on the second day by selling eight senior citizen tickets and five child tickets. What is the price of each ticket?
Senior citizen $4
Child $7
Solve the following equations using elimination
2y + 7x = -5
5y - 7x = 12
(-1,1)
x=-1
y=1
A test has 20 questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. What does the x and y represent in the following equation?
3x+11y=100
x= number of true/false questions
y= number of multiple choice questions
Solve the following equations using elimination
3x -y = 12
2x + y = 13
(5,3)
x=5
y=3
If you multiply this number by any other number, the answer will always be the same. What number is this?
Zero
Sporting good store sells right handed and left-handed baseball gloves. In one month, 12 gloves were sold for a total revenue of $561. Right handed gloves cost $45 and left-handed gloves cost $52. Find the number of each type of glove.
9 right handed gloves and 3 left handed gloves
Solve the following equations using elimination
-4x - 15y = -17
-x + 5y = -13
(-8,1)
x=-8
y=1
I have nickels and dimes in my pocket. Altogether I have 17 coins and these coins total $1.40. What would x and y represent in the following equations...
0.05x + 0.1y= 1.40
x+y=17
x=#of nickels
y=# of dimes
And exam worth 145 points contains 50 questions. Some of the questions are worth two points and some are worth five points. When writing an equation what would the x and y represent?
Example: 2x +5y=145
x+y=50
X=number of questions worth two points
Y=number of questions worth five points
If 2 is company and 3 is a crowd, what is 4 and 5?
Randy had some one dollar bills and five dollar bills in his wallet. He has 15 bills and all. He counts the money and he finds he has $47. How many of each type of bill does Randy have?
7 $1
8 $5
Solve the following equations using elimination
16x - 10y = 10
-16x -12y = 12
(0,1)
x=0
y=1
A charitable organization is hosting a black-tie benefit. Yesterday the organization sold 61 regular tickets and 66 VIP tickets raising $14,956. Today, 43 regular tickets and 22 VIP tickets were sold bringing in a total of $6300. Define the x and y.
x=#of regular tickets
y=#of vip tickets
-2x - 9y= -25
-4x - 9y= -23
(-1,3)
x=-1
y=3
What can you put between 5 and 6 so the result is greater than 5 but less than 6?
A decimal
A travel agency offers to Boston outings. Plan a includes hotel accommodations for three nights and two pairs of baseball tickets were $519. Plan B includes hotel commendations for five nights and four pairs of baseball tickets for $909. How much for a one night accommodation? How much for one ticket?
$129 1 night
$33 1 ticket
Solve the following equations using elimination
5x + 4y = -14
3x + 6y = 6
(-6,4)
x=-6
y=4
A Florist in assembling flower arrangements for Christmas day. This morning, she assembled 10 small arrangements and two small arrangements, which took her total of 68 minutes. After lunch, she arrange five small arrangements and 13 large arrangements, which took 142 minutes. What are the two things unknown or the two variables in this situation?
Example: 10x + 2y = 68 and 5x + 13y= 142
x=# of minutes to make small
y=# of minutes to make large
Is sightseeing boat charges five dollars for children and $10 for adults. On its first trip of the day, it collected $455 for playing 71 paying passengers. How many children and how many adults were there?
51 children
20 adults
If you expect a rooster to lay 3 eggs everyday, how many eggs would the rooster lay in 3 weeks?
None. Roosters don't lay eggs
Boat travel 336 miles downstream and back. The trip downstream took 12 hours. The trip back took 14 hours. What is the speed of the boat in Stillwater? What is the speed of the current?
Boat 26mph
Current 2mph
Solve the following equations using elimination
-4x - 2y = 14
-10x + 7y = -25
(-1,-5)
x=-1
y=-5
A class of 195 students went on a field trip. They took seven vehicles, some cars and some buses. Find the number of cars and A class of 195 students went on a field trip. They took seven vehicles, some cars and some buses. When writing linear systems of equations, what would the variables x and y represent?
Example: 5x+ 45y=195 & x+y=7
x=# of cars
y=#of buses
On the first day of talent show ticket sales the school sold seven adult tickets and 12 child tickets for a total of $148. The school took and $98 on the second day by selling seven adult tickets and seven child tickets. What is the price each, one adult ticket and one child ticket cost?
4 adult tickets
10 child tickets
A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain. How many cards are there?
47 cards