Coin Word Problems
Ben has four more quarters than dimes. If he has a total of $1.70, how many quarters and dimes does he have?
6 quarters and 2 dimes
Mr. Hershey wishes to mix candy worth 36 cents a pound with candy worth 52 cents a pound to make 300 pounds of a mixture worth 40 cents a pound. How many pounds of the more expensive candy should he use?
75 pounds of the more expensive candy
Solve this system.
x − y = 3
7x − y = −3
(-1, -4)
How far can Justin drive into the country if he drives out at 40 miles per hour and returns over the same road at 30 miles per hour and spends 8 hours away from home including a one-hour stop for lunch?
120 miles
The sum of the digits in a two-digit number is thirteen. If the digits of the number are reversed, the new number is nine more than the original number. What is the original number?
67
Andrea has a change jar that contains $5.04 in pennies and nickels. She has 11 times as many nickels as pennies. How many of each type of coin does she have?
9 pennies and 99 nickels
How many gallons of pure alcohol must be added to 15 gallons of a solution that is 40% alcohol to strengthen it to a solution that is 50% alcohol?
3 gallons of pure alcohol
Solve this system.
−7x + 2y = 18
6x + 6y = 0
(-2, 2)
Mr. Powell can mow his lawn twice as fast as his son Mike. Together they do the job in 20 minutes. How many minutes would it take Mr. Powell to do the job alone?
30 minutes
The sum of the digits in a two-digit number is fourteen. If the digits of the number are reversed, the new number is thirty-six more than the original number. What is the original number?
59
Eddie has $4.85 in coins. If he has six more nickels than dimes and twice as many quarters as dimes, how many coins of each type does he have?
7 dimes, 13 nickels, and 14 quarters
A solution of 60 quarts of salt and water is 20% salt. How much water must be added to make a solution that is 5% salt?
180 quarts of water
Solve this system.
−4y − 11x = 36
20 = −10x − 10y
(-4, 2)
Eric left his home at 11 A.M., traveling along Route 1 at 30 miles per hour. At 1 P.M., his brother Jacob left home and started after him on the same road at 45 miles per hour. At what time did Jacob catch up to Eric?
5 PM
In a three-digit number, the hundreds digit is three times the tens digit. The tens digit is three times the ones digit. If the sum of the digits is thirteen, find the number.
931
Bob can paint a house in 4 days. His friend Mickey Mouse is "helping," but Mickey is actually slowing progress by accidentally painting over Bob's work. When they work together, it takes them 12 days to finish the house. Find Mickey's individual rate.
1/6 houses per day