Algebra

System of Linear Equations

System of Linear Equations Word Problems

         

Calvin went to Chicago's Magnificent Mile to do some Christmas shopping. At the first store, he bought some t-shirts and spent half of his money. At the second store, he bought a stuffed bear and spent half of his remaining money. For lunch, he bought a sandwich for half of his remaining money. He then had $10 left to take the train home. How much money did Calvin bring along at the start of the day?

A group of friends are planning a road trip. If they all contribute $24, then they would be $6 short of the total cost of the trip. If they all contribute $25, then they would have $3 more than the total cost of the trip. What is the total cost of the trip?

Stella the school teacher is bringing 38 of her students out on a field trip. The bus that contains her students has 25 rows of seats, and each row contains 2 seats. When taking attendance on the bus, she notices there was no empty row of seats. How many rows of seats have exactly 1 student in them?

Susan's backyard has three faucets: AA, BB and CC. If she turns on all three of them, it takes 100100 minutes to fill the pool. If she turns on only AA and BB, it takes 150150 minutes, and if she turns on only BB and CC, it takes 200200 minutes. If she turns on only AA and CC, how long will it take (in minutes) to fill the pool?

A candy store sells almonds for $1515 per kilogram and peanuts for $55 per kilogram. If it sells 2020 kilograms of mixed nuts for $1313 per kilogram, how many kilograms of almonds are in the mixed nuts?

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