Number Riddles
The difference of two numbers is 3. Their sum is 13. Find the numbers.
8 and 5
A boat traveled 21 mph downstream. On the trip back, it traveled 7 mph upstream. What is the speed of the boat in still water and the current?
boat 14 mph and current 7 mph
Hardcover books cost $4 each, and paperback books cost $2 each. Jerome spent $26 on 8 books. How many hardcovers and paperbacks did he buy?
5 hardcovers and 3 paperbacks
Sunny only has dimes and nickels. There are 18 coins in her pocket. The value of the coins is $1.25. How many dimes and nickels does she have?
7 dimes and 11 nickels
Solution A is 20% alcohol and solution B is 50% alcohol. How much of each should be mixed to make a 15 gallon mixture that is 30% alcohol?
10 gallons of solution A and 5 gallons of solution B
The sum of two numbers is 55 and their difference is 5. Find the two numbers.
30 and 25
In a canoe race, a team paddles downstream 8 m/s. The same team makes the trip upstream in 6 m/s. Find the team's rate in still water and the rate of the current?
canoe 7 m/s and current 1 m/s
Fiona pays $15 for 9 pieces of fruit. The apples were on sale for $1 each and the oranges were $2 each. How many apples and oranges did she buy?
3 apples and 6 oranges
Angelica has 28 dimes and nickels. The coins are worth a total of $2.60. Find how many dimes and how many nickels she has.
24 dimes and 4 nickels
An alloy containing 28% silver is to be mixed with an alloy containing 40% silver to make 300 grams of an alloy containing 36% silver. How much of each alloy should be used?
100 g of the 28% silver and 200 g of the 40% silver
One number is 12 more than half another number. The two numbers total 60. Find the numbers.
28 and 32
A sailboat travels 6 mph downstream and 4 mph upstream. Find the speed of the sailboat in still water and the rate of the current.
sailboat is 5 mph and current is 1 mph
Ryan pays $14.94 to download 5 songs and 1 album. Daniel pays $22.95 to download 3 songs and 2 albums. How much is each song and how much is each album?
$0.99 for a song and $9.99 for an album
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?
37 dimes and 23 quarters
A dairy has milk that is 4% butterfat and cream that is 40% butterfat. To make 36 gallons of a mixture that is 20% butterfat, how many gallons of milk and cream must be used?
20 gallons of milk and 16 gallons of cream
The sum of two numbers is 75. The larger number is 3 less than twice the smaller. Find the two numbers
26 and 49
A jet can travels at 1000 km/h with the wind from from New York to Paris. On the return trip, the jet travels 850 km/h against the wind. Find the rate of the jet in still air and the rate of the wind.
jet is 925 km/h and wind is 75 km/h
William bought 5 adult and 2 children tickets to a show. Tianlun bought 3 adult and 2 children tickets to the same show. If William paid $48 and Tianlun paid $32, what is the cost of each kind of ticket?
$8 for adult and $4 for child
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.
83 nickels and 47 quarters
In a laboratory a pharmacist has 30% and 80% solutions. She needs to make 100 mL of a 50% solution. How many mL of the 30% and 80% solutions should she mix?
60 mL of the 30% and 40 mL of the 80%