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Systems of Linear Equations

If one Bitcoin and 100,000 Dogecoin are worth $480, and two Bitcoin and 150,000 Dogecoin are worth $948, would you rather have one Bitcoin or 100,000 Dogecoin?

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: \(A\), \(B\) and \(C\). If she turns on all three of them, it takes \(100\) minutes to fill the pool. If she turns on only \(A\) and \(B\), it takes \(150\) minutes, and if she turns on only \(B\) and \(C\), it takes \(200\) minutes. If she turns on only \(A\) and \(C\), how long will it take (in minutes) to fill the pool?

A candy store sells almonds for $\(15\) per kilogram and peanuts for $\(5\) per kilogram. If it sells \(20\) kilograms of mixed nuts for $\(13\) per kilogram, how many kilograms of almonds are in the mixed nuts?

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