Here are the scenarios matched with their corresponding equations:
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Darius is 38 years old. In 4 years he will be 3 times as old as Gia. How old is Gia?
- Equation: \(3x + 4 = 42\)
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I think of a number, multiply it by 3 and then add four to get 42. What number am I thinking of?
- Equation: \(3x + 4 = 42\)
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Lucia goes to the art store and spends $38. She buys a canvas for $20 and some new paints. If each paint cost $3, how many did she buy?
- Equation: \(3x + 20 = 38\)
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Chelsea owes her mom $38. She starts paying her mom back $4 per week. After some weeks, she realizes she only owes her mom $2 more. How many weeks has she been paying her mom back?
- Equation: \(4x + 2 = 38\)
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A rectangle has a length of 4 units and a width of x + 3 units. If the area is 42, what is the value of x?
- Equation: \(4(x + 3) = 42\)
Here’s the final matching:
- Darius scenario - \(3x + 4 = 42\)
- Thinking of a number - \(3x + 4 = 42\)
- Lucia's paint purchases - \(3x + 20 = 38\)
- Chelsea paying back - \(4x + 2 = 38\)
- Rectangle area - \(4(x + 3) = 42\)