In a certain card game, for every 4 blue cards, there are 3 yellow cards. There are a total of 84 blue and yellow cards in the game. How many blue cards are in the game? blue cards

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Understand ratio and total: Understand the ratio and total number of cards. We are given that for every 4 blue cards, there are 3 yellow cards. This means the ratio of blue cards to yellow cards is 4:3. We also know that there are a total of 84 blue and yellow cards combined.Set up equation: Set up the equation based on the ratio. Let the number of sets of cards (where each set consists of 4 blue cards and 3 yellow cards) be x. Therefore, the total number of blue cards is 4x and the total number of yellow cards is 3x. The sum of blue and yellow cards is 4x + 3x, which equals 84.Combine terms and solve: Combine like terms and solve for x. 4x + 3x = 84 7x = 84 Now, divide both sides by 7 to find x. x = 84 / 7 x = 12Calculate number of blue: Calculate the number of blue cards. Since x represents the number of sets and there are 4 blue cards in each set, we multiply the number of sets by 4 to find the total number of blue cards. Number of blue cards = 4x Number of blue cards = 4 * 12 Number of blue cards = 48

In a certain card game, for every $4$ blue cards, there are $3$ yellow cards. There are a total of $84$ blue and yellow cards in the game. $\newline$ How many blue cards are in the game? $\newline$ blue cards

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In a certain card game, for every $4$ blue cards, there are $3$ yellow cards. There are a total of $84$ blue and yellow cards in the game. $\newline$ How many blue cards are in the game? $\newline$ blue cards