Multi-Step Word Problems with Mixed Operations
Solving real-world problems using several operations
Multi-Step Word Problems with Mixed Operations
Solving real-world problems using several operations
Math - Grade 6-8
- 1
A school store bought 48 notebooks for $1.25 each and 36 folders for $0.80 each. The store sold all the notebooks for $2.00 each and all the folders for $1.25 each. What was the store's total profit?
Find the total cost first, then find the total money earned.
The store spent $60.00 on notebooks and $28.80 on folders, for a total cost of $88.80. It earned $96.00 from notebooks and $45.00 from folders, for total revenue of $141.00. The total profit was $52.20. - 2
Maya has $75 to spend at an amusement park. Her ticket costs $32.50. She buys lunch for $11.75 and then wants to play arcade games that cost $2.25 each. What is the greatest number of arcade games Maya can play?
After buying the ticket and lunch, Maya has $75.00 - $32.50 - $11.75 = $30.75 left. Since each arcade game costs $2.25, she can play 30.75 divided by 2.25 = 13.666..., so the greatest whole number of games she can play is 13. - 3
A rectangular garden is 18 feet long and 12 feet wide. A path that is 2 feet wide is built all the way around the outside of the garden. What is the area of the path only?
Add 2 feet to each side of the garden, which increases each dimension by 4 feet total.
The garden area is 18 times 12 = 216 square feet. The outside rectangle including the path is 22 feet by 16 feet, so its area is 352 square feet. The area of the path only is 352 - 216 = 136 square feet. - 4
A recipe makes 24 muffins using 3 cups of flour and 1.5 cups of sugar. Liam wants to make 40 muffins. How many cups of flour and sugar will he need altogether?
Find the multiplier from 24 muffins to 40 muffins, then multiply each ingredient.
The scale factor is 40 divided by 24, which is 5/3. Liam needs 3 times 5/3 = 5 cups of flour and 1.5 times 5/3 = 2.5 cups of sugar. Altogether, he needs 7.5 cups of flour and sugar. - 5
A soccer team played 18 games. They won twice as many games as they lost, and they tied 3 games. How many games did they win?
After the 3 ties, there were 15 games that were wins or losses. If losses are represented by x, then wins are 2x. The equation is x + 2x = 15, so 3x = 15 and x = 5. The team won 10 games. - 6
A movie theater sold 120 tickets. Adult tickets cost $12, student tickets cost $8, and 75 student tickets were sold. How much money did the theater collect from ticket sales?
Find the number of adult tickets before calculating the money from each type.
If 75 student tickets were sold, then 120 - 75 = 45 adult tickets were sold. Student ticket sales were 75 times $8 = $600. Adult ticket sales were 45 times $12 = $540. The theater collected $1,140 in all. - 7
A delivery driver travels 36.5 miles in the morning, 42.75 miles in the afternoon, and 18.25 miles in the evening. The van uses 1 gallon of gas for every 25 miles. Gas costs $3.60 per gallon. What is the total cost of gas for the day?
The driver travels 36.5 + 42.75 + 18.25 = 97.5 miles. The van uses 97.5 divided by 25 = 3.9 gallons of gas. The gas costs 3.9 times $3.60 = $14.04. - 8
A class is planning a field trip. The bus costs $425. Museum tickets cost $9.50 per student. There are 28 students going. If the total cost is shared equally by the students, how much should each student pay?
Add the bus cost and the total ticket cost before dividing.
The museum tickets cost 28 times $9.50 = $266.00. The total cost is $425.00 + $266.00 = $691.00. Each student should pay $691.00 divided by 28 = $24.68, rounded to the nearest cent. - 9
The bar graph shows the number of books read by four students in one month: Ana read 8, Ben read 6, Carla read 11, and Devin read 7. If the students set a group goal of reading 40 books, how many more books do they need to read to reach the goal?
The students read 8 + 6 + 11 + 7 = 32 books. Since the goal is 40 books, they need 40 - 32 = 8 more books to reach the goal. - 10
A phone plan charges a flat fee of $25 per month plus $0.12 for each text message. Jordan's bill before tax was $43.60. How many text messages did Jordan send?
Subtract the flat fee first to find the amount spent only on text messages.
The text message charges were $43.60 - $25.00 = $18.60. Since each text costs $0.12, Jordan sent 18.60 divided by 0.12 = 155 text messages. - 11
A map uses a scale where 1 inch represents 15 miles. The distance between two towns on the map is 3.6 inches. A car travels the actual distance at an average speed of 54 miles per hour. How many minutes will the trip take?
The actual distance is 3.6 times 15 = 54 miles. At 54 miles per hour, the trip takes 54 divided by 54 = 1 hour. One hour is 60 minutes, so the trip will take 60 minutes. - 12
A water tank holds 240 gallons when full. It is currently 3/5 full. Water is added at a rate of 12 gallons per minute for 6 minutes. How many more gallons are needed to fill the tank after that?
Find the amount of water in the tank at the start, then add the new water.
The tank starts with 3/5 of 240 = 144 gallons. Then 12 times 6 = 72 gallons are added, making 216 gallons in the tank. The tank needs 240 - 216 = 24 more gallons to be full.