Problem:
If you have $50 to spend, how many pounds of bananas can you buy if a loaf of bread costs $4 at the store?
Solution:
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Define the Variables:
- Let \( x \) be the number of pounds of bananas I can buy.
- The price of bananas is $2 per pound.
- The price of a loaf of bread is $4.
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Set up the equation:
- First, if I buy one loaf of bread, I will spend $4, leaving me with: \[ 50 - 4 = 46 \]
- The remaining money can be spent on bananas, which cost $2 per pound: \[ 2x = 46 \]
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Solve the equation:
- To find \( x \), divide both sides by 2: \[ x = \frac{46}{2} = 23 \]
Therefore, I can buy 23 pounds of bananas after purchasing a loaf of bread.