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Question: Lucas James and Oliver have a total of 370 game cards. James have twice as many game cards as Lucas. James have twice as many game cards as Lucas Oliver has 25 more game cards and James. how many game cards does James have?
Let's use variables to represent the number of game cards each person has: Let L represent the number of game cards Lucas has. Let J represent the number of game cards James has. Let O represent the number of game cards Oliver has. We are given the following information: 1. Lucas, James, and Oliver have a total of 370 game cards: L + J + O = 370 2. James has twice as many game cards as Lucas: J = 2L 3. Oliver has 25 more game cards than James: O = J + 25 Now, we can substitute the expressions for J and O from (2) and (3) into the first equation: L + (2L) + (2L + 25) = 370 Combine the like terms: 5L + 25 = 370 Now, subtract 25 from both sides of the equation: 5L = 345 Finally, divide both sides by 5 to find the number of game cards Lucas has: L = 69 Now that we found the number of game cards Lucas has, we can use the second equation to find the number of game cards James has: J = 2L = 2(69) = 138 So, James has 138 game cards.
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