word problems
You estimate that 200 adults and 250 children will attend your pancake dinner. Let X represent the costs of an adults ticket and Y represent the cost of a child’s ticket. You want to raise a total of $3800. Write an equation to solve this problem.
200x +250y = 3800
3x - y = 12
2x + y = 13
(5,3)
To keep in shape, Jack exercises at a track near his home. If you run six laps and wants eight laps, it takes him 38 minutes. If he runs five laps and walked four laps, it takes him 2 to keep in shape, Jack exercises at a track near his home. If you want six slabs and wants eight laps, it takes him 38 minutes. If he runs five laps and walks for labs, it takes him 21 minutes. What do the c and y variables represent?
Example:
6x + 8y=38
5x+4y=21
x=minutes run
y= minutes walk
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. Using the equation 3x+11y=100, what do the x and y variables represent?
x=#of true/false questions
y=#of multiple choice questions
If you multiply this number by any other number, the answer will always be the same. What number is this?
Zero
A 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
2y + 7x= -5
5y - 7x = 12
(-1,1)
A library is having an old book sale to raise money. Hardcover books and paperback books are being sold at different prices. Hardcover books cost four dollars each and paperback books cost two dollars each. So I would buy the total of eight books for $26. What do the variables x and y represent in they are the variables in a linear equation?
x+y=8
4x+2y=26
x= # of hardcover books
y= # of paperback books.
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 gloves.
9 right handed gloves and 3 left handed gloves
You expect a rooster to lay three eggs every day. How many eggs will you have after 3 weeks?
None, roosters don't lay eggs.
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 and 10 child tickets
-4x - 15y = -17
-x + 5y = -13
(-8,1)
A baseball coach takes her team out for pizza every time they want to game. Not everyone can come each time, so he orders the pizzas based on how many players are coming. After last weeks victory, he bought two medium pizzas and one large pizza, perfect amount for the nine players going up for pizza. This week, there were 33 players going, so he ordered four medium pizzas and five large pizzas, which was just the right amount. What would the variables x and y equal in the following equations?
4x+5y=33
2x+1y=9
x=number of medium pizzas
y=number of large pizzas
-4x + y = 6
-5x + y = 21
(-3,-6)
What can you put between a 5 and 6 to make the answer greater than 5 but less than 6?
decimal
A movie theater sells tickets for eight dollars each, with seniors receiving a discount of two dollars. One evening the theater sold 525 tickets and took in 3000 580 in revenue. How many of each type of ticket were sold?
215 $8 tickets
310 $6 tickets
5x + 4y = -14
3x + 6y = 6
(-6,4)
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?
Examples:
5x+ 45y=195
x+y=7
x= number of cars
y= number of buses
A boat traveled 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 still water? What is the speed of the current?
Boat 26mph
Current 2mph
If 2 is a company and 3 is a crowd, what is 4 and 5?
9
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
-7x - 8y = 9
-4x + 9y = -22
(1,-2)
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
5x + 13y= 142
x= number of minutes to make small
y= number of minutes to make large
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
I am a number with a couple of friends, quarter a dozen, and you'll find me again. What am I?
3