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Question 2 (Multiple Choice Worth 1 points) ( 05.02 MC ) Two families attended a baseball game. The first family bought 4 bags of popcorn and 5 souvenir cups, which totaled \( \$ 50 \). The second family bought 6 bags of popcorn and 4 souvenir cups, which totaled \( \$ 54 \). How much did one bag of popcom cost?

Ask by Crawford Rose. in the United States
Jan 24,2025

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One bag of popcorn costs \$5.

Solución

One bag of popcorn costs **\$5**. **Solution:** 1. Let \( p \) be the cost of one bag of popcorn and \( c \) be the cost of one souvenir cup. 2. From the first family: \( 4p + 5c = 50 \) 3. From the second family: \( 6p + 4c = 54 \) 4. Multiply the first equation by 6 and the second by 4 to eliminate \( p \): - \( 24p + 30c = 300 \) - \( 24p + 16c = 216 \) 5. Subtract the second equation from the first: - \( 14c = 84 \) → \( c = 6 \) 6. Substitute \( c = 6 \) back into the first equation: - \( 4p + 30 = 50 \) → \( 4p = 20 \) → \( p = 5 \) **Answer:** \$5

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Beyond the Answer

Did you know that the classic stadium snack, popcorn, has a rich history dating back to the early 1900s? It became particularly popular during the Great Depression, as it was inexpensive and tasty, turning movie theaters and baseball parks into prime spots for enjoying this crunchy treat. Now, it's hard to imagine any game or film without it! In real-world applications, this type of problem-solving is not just for schoolwork; it mirrors situations in budgeting. Families often have to make purchases that require quick calculations or setting up equations to maximize their enjoyment without overspending. Understanding how to break down these costs is a handy life skill—whether you're planning a party or figuring out how much to save for your next outing!

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