Word Problems
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. Write two equations to solve this problem.
total number: a + c = 2200
total income: 4a + 1.5c = 5050
Solve the following equations using elimination
3x - 4y = -5
-10x + 4y = 12
(-1, 0.5)
x=-1
y=0.5
Sightseeing boat charges five dollars for children and $10 for adults. On its first trip of the day, collected $455 for 71 paying passengers. What do the x and y variables represent in the following equations? x+ y=71 & 5x+10y=455
(x=#of children y=#of adults)
Solve the following equations using elimination.
2x + 3y = 20
-2x + y = 4
(2,6)
x= 2
y= 6
When is the last day of school?
June 6th
Wolfrich lived in Portugal and Brazil for a total period of 14 months in order to learn Portuguese. He learned an average of 130 new words per month when he lived in Portugal and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words.
130x+150y=1920
x + y =14x+y=14
Solve the following equations using elimination
2x + 3y = 15
x - 3y = 3
(6,1)
x=6
y=1
There are students and adult prices for tickets to a high school football game. These tickets for admission cost three dollars for students and five for adults. During one game, 729 tickets were sold for a total of $2995. When making linear equations what would the two variables represent? Example: x+y=729 & 3x+5y=2995
(X=# of students Y=# of adults)
There are many amphibians in your biology classroom. Your teacher tells you there are two kinds of amphibians, frogs and salamanders, 44 enough. The chart on the wall says 2 feet each frog five crickets a day and each salamander three crickets a day. You know that 182 crickets are used in one day. Define the x and y variables in the situation.
x=frogs and y=salamanders
What is the most popular activity during the summer?
Swimming
You are selling hot dogs and sodas at a basketball game. Each hot dog costs $1.50 and each soda costs $0.50.You made a total of $78.50 and you sold a total of 87 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. One equation to represent this scenario is :
1.50x + 0.50y = 78.50
what does x represent?
Number of hot dogs sold
Solve the following equation using elimination
-7x - 2y = -13
x - y = 11
(3,-4)
x=3
y=-4
Substitute teachers at a certain school district get paid by the day all those subs with teaching credentials are in a different amount than selves without credentials. Yesterday, 39 credentialed subs and one credentialed sub taught in the district and it cost a total of $296. Today, two non-credentialed subs and three controlled subs taught receiving $419 from the district. What would the two variables represent when writing linear equations? Example: 3x +1y=296 and 2x+3y=419
x=credentialed y=non-credentialed
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
When is the first OFFICIAL day of summer?
June 21st
April sold 75 tickets to a school play and collected a total of $495. If the adult tickets cost eight dollars each and child tickets cost five dollars each, how many adult tickets child tickets did April sell? List 2 equations to solve this problem.
a + c = 75
8a + 5c = 495
Solve the following equations using elimination
-5x + y = -3
-3x - 8y = 24
(0,-3)
x=0
y=-3
The Lakers scored a total of 80 points in a basketball game against the girls. The Lakers made a total of 37 two point and three point baskets. How many too. Shots to the Lakers May? How many three point shots the Lakers make? When writing an equation what would the x and y represent? Example: x+y=37 & 2x+3y=80
(x= # of two pointers in a basketball game & y= # of three pointers in a basketball game)
A farmhouse shelters 10 animals summer pigs and summer ducks. Altogether there are 36 legs. How many of each animal are there? What would the x and y variables represent in a possible equation?
4x+2y=36 & x+y=10
x=# of ducks
y=# of pigs
What is the most popular fruit during summer?
Watermelon
You and a friend go to Tacos Galore for lunch. You order three soft tacos and three burritos and your total bill is $11.25. Your friend's bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost?
Soft taco is $1.25
Burrito is $2.50
Solve the following equations using elimination
-4x + y = 6
-5x + y = 21
(-3,-6)
x=-3
y=-6
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?
Y=# of five point questions
X=number of 2 point questions
A cookie jar starts off with 32 cookies in it, and each day 2 cookies are eaten.After a certain number of days, There are 14 cookies left in the jar. Which of the following equations represents the day, D, when there are 14 cookies in the jar?
A 32-2d =14
B 32+ 2d =14
C 32/2d=14
A. 32-2d =14
what is the highest temperature ever recorded?
134 degrees fahrenheit