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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 denote the number of game cards for Lucas as L, for James as J, and for Oliver as O. We are given the following information: 1. L + J + O = 370 2. J = 2L (James has twice as many game cards as Lucas) 3. O = J + 25 (Oliver has 25 more game cards than James) Now, we need to find the value of J (James). From equation 2, we can write L as: L = J/2 From equation 3, we can write O as: O = J + 25 Now, let's substitute these equations into equation 1: (J/2) + J + (J + 25) = 370 Let's solve the equation step by step: (1/2)J + J + J + 25 = 370 (1/2)J + 2J + 25 = 370 (1/2)J + (4/2)J + 25 = 370 (multiply the equation by 2 to get rid of the fraction) J + 4J + 50 = 740 5J + 50 = 740 Now, subtract 50 from both sides: 5J = 690 Now, divide both sides by 5: J = 138 James has 138 game cards.
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