Question
create a word problem for the following equation: 4a - 3 = 2b + 8
Answers
GPT-4o mini
Sure! Here’s a word problem that represents the equation \( 4a - 3 = 2b + 8 \):
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**Word Problem:**
Maria is organizing a charity event and is trying to budget for two different types of decorations: balloons and centerpieces. She estimates that each balloon costs \( a \) dollars, and each centerpiece costs \( b \) dollars.
Maria plans to buy 4 balloons but then realizes she must spend an additional $3 on supplies. She calculates that the total cost of the balloons and supplies should equal the total cost of 2 centerpieces plus an extra $8 for decorations.
If you want to find a relationship between the cost of balloons and centerpieces, how can you express that in an equation?
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This leads to the equation \( 4a - 3 = 2b + 8 \).
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**Word Problem:**
Maria is organizing a charity event and is trying to budget for two different types of decorations: balloons and centerpieces. She estimates that each balloon costs \( a \) dollars, and each centerpiece costs \( b \) dollars.
Maria plans to buy 4 balloons but then realizes she must spend an additional $3 on supplies. She calculates that the total cost of the balloons and supplies should equal the total cost of 2 centerpieces plus an extra $8 for decorations.
If you want to find a relationship between the cost of balloons and centerpieces, how can you express that in an equation?
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This leads to the equation \( 4a - 3 = 2b + 8 \).