Number
Mixture/Current
Shopping
Coin
Misc.
100
The difference of two numbers is 3. Their sum is 13. Find the numbers.
What is 8 and 5
100
16 lb of Brand M Cinnamon was made by combining 12 lb of Indonesian cinnamon which costs $19/lb with 4 lb of Thai cinnamon which costs $11/lb. Find the cost per lb of the mixture.
What is $17/lb
100
A local library had a book sale to raise money for a charity. Hardcover books cost $4 each and paperback books cost $2 each. Miss Gratton spent $26 on 8 books. How many hardcover and paperback books did Miss Gratton buy?
What is 5 hardcover books and 3 paperback books
100
Miss Leahy's pocket is filled with dimes and nickels. There are 18 coins in her pocket. The value of the coins is $1.25. How many dimes and nickels are in her pocket?
What is 7 dimes and 11 nickels
100
The solution to the system:
8a + 5b = 9
2a - 5b = -4
What is (0.5, 1)?
200
The sum of two numbers is 55 and their difference is 5. Find the two numbers.
What is 30 and 25
200
A man needed one hour to row one mile upstream, but only 12 minutes to row back down. Find his rowing rate (in still water).
What is 3mph?
200
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?
What is 3 apples and 6 oranges
200
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.
What is 24 dimes and 5 nickels
200
The solution to the system
y = x - 2
3x - y = 16
What is (7, 5)
300
One number is 12 more than half another number. The two numbers total 60. Find the numbers.
What is 28 and 32
300
How many mg of a metal containing 45% nickel must be combined with 6 mg of pure nickel to form an alloy containing 78% nickel?
What is 4mg?
300
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. How much does iTunes charge to download a song and an entire album? (Round to the nearest hundreth)
What is $0.99 for a song and $9.99 for an album
300
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?
What is 37 dimes and 23 quarters
300
How many solutions does the following system have? How do you know?
1 solution! Because the lines are no parallel, therefore they must intersect once and only once.
400
The sum of two numbers is 75. The larger number is 3 less than twice the smaller. Find the two numbers
What is 26 and 49
400
A crew team rowed 18 miles in 2 hours, going with the current. Traveling against the current, it rowed 8 miles in the same amount of time. Find the rate of the crew in still water and the rate of the current.
What is 6.5 mph rowing in still water and the current is 2.5 mph.
400
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?
What is $8 for adult and $4 for student ticket
400
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.
What is 83 nickels and 47 quarters
400
The dimensions of a rectangle whose perimeter is 78 inches, when the length of the rectangle is twice its width
What is 26 in x 13in?
500
The larger of two numbers is 8 more than four times the smaller. If the larger is increased by four times the smaller, the result is 40. Find the numbers.
What is 4 and 24
500
How much distilled water should a nurse add to reduce 16 ounces of a 25% solution of antiseptic to a solution that is 10% antiseptic?
What is 24 oz of distilled Water
500
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?
What is 219 residents and 367 non-residents
500
You are counting cash register at the end of the night. You have $1015 in $5 bills and $10 bills. If you have 138 bills all together, how many of each type for you have?
What is 73 $5 bills and 65 $10 bills
500
Write a system of equations based on the following table:
What is:
y = 315x + 200
y = 250x + 1500