Number
x+y=13
A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.
x + y = 7
5x + 45y = 195
x+y=8
Ms. Leahy's pocket is filled with dimes and nickels. There are 18 coins in her pocket. The value of the coins is $1.25. Give the two equations to find how many dimes and nickels Ms. Leahy has.
x+y=18
.10x+.05y=1.25
The sum of two numbers is 55 and their difference is 5. Find the two numbers.
x + y = 55
x - y = 5
Mitch bought a total of 13 pizzas and buckets of wings for his big Super Bowl party. If it costs $11.75 for a pizza and $19.95 for a bucket of wings and he spent $193.75, how many buckets of wings did he buy?
x + y = 13
11.75x + 19.95y = 193.75
iTunes allows users to download individual songs or an entire album. Let's say all individual songs cost the same to download and all the albums cost the same to download. JD pays $14.94 to download 5 individual songs and 1 album. Abby pays $22.95 to download 3 individual songs and 2 albums. Give the two equation to find out how much iTunes charges to download a song and an entire album?
5x+y = 14.94
3x+ 2y = 22.95
Drew has 28 coins all of which are either dimes or nickels. The coins are worth a total of $2.60. Find how many dimes and how many nickels he has.
x + y = 28
.10x + .05y = 2.60
Nate bought two large pizzas and one small pizza and paid $36. If the difference in cost between a large and small pizza is $5.25,how much does a small pizza cost?
2x + 1y = 36
x - y = 5.25
The florist charges $31.75 for eight roses and five carnations. For one rose and three carnations, it costs $5.75. What is the cost for a carnation?
8x + 5y = 31.75
x + 3y = 5.75
You walk into the grocery store to get two of your favorite fruits: apples and oranges. When you get to the checkout line, you have 9 pieces of fruit in your basket and the cashier says you owe $15. The apples were on sale for $1 each and the oranges were $2 each. How many apples and oranges did you buy?
x + y = 9
x + 2y = 15
You have 60 coins consisting of quarters and dimes in your pocket. The coins combined value is $9.45. Find the number of quarters and the number of dimes?
x + y = 60
.25x + .10y = 9.45
Substitution is easier to use when this coefficient is in the equation.
What is one.
At the ice cream shoppe, one banana split and five milkshakes cost $16.24. If three banana splits and two milkshakes cost $15.05, find the cost of a milkshake.
x + 5y = 16.24
3x + 2y = 15.05
Rob has 40 coins, all dimes and quarters, worth $7.60. How many dimes and how many quarters does he have?
x + y = 40
.10x + .25y = 7.60
Two families attended the musical at Cardinal O'Hara that offered adult and student priced tickets. The first family, the Mullens, consisted of 5 adults and 2 students. The second family, the Wellmans, consisted of 3 adults and 2 students. If the Mullens paid $48 for the tickets and the Wellmans paid $32 for the tickets, what is the cost of each kind of ticket?
5x + 2y = 48
3x + 2y = 32
You have 130 coins consisting of nickels and quarters. The coins combined value comes to $15.90. Find the number of nickels and the number of quarters.
x + y = 130
.05x + .25y = 15.90
Where is the solution to a system of equations on a graph?
intersection
Last week, Landon ate a total of 19 cookies and cupcakes. If the cookies contain 140 calories each, cupcakes contain 275 calories each, and he consumed a total of 3605 calories, how many cookies did he eat?
x + y = 19
140x + 275y = 3605
The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?
x + y = 530
3x + 4y = 1740
586 people attended a banquet in Disney World. Residents paid $12.95 and non-residents paid $17.95. If Disney made $9423.70 from ticket sales for the event, how many residents and non-residents attended?
x + y = 586
12.95x + 17.95y = 9423.70
Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each kind did she buy?
x + y = 7
15x + 28y = 131
There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. How many of each animal are there?
x + y = 13
2x + 4y = 40