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Answer :
Final answer:
Michelle bought 5 roses.
Explanation:
The question asks how many roses Michelle bought if roses cost $5 each, geraniums cost $3 each, Michelle bought 4 more geraniums than roses, and she spent a total of $52.
Let's use algebra to solve the problem.
Let the number of roses be represented by r and the number of geraniums be g.
According to the problem, g = r + 4.
The total cost of roses and geraniums is represented by 5r + 3g = 52.
We can substitute g in the equation with r + 4 to find the value of r.
Here is the step-by-step calculation:
- Start with the equation: 5r + 3g = 52
- Substitute g with r + 4: 5r + 3(r + 4) = 52
- Simplify and solve for r: 5r + 3r + 12 = 52 ⇒ 8r + 12 = 52 ⇒ 8r = 40 ⇒ r = 5
Michelle bought 5 roses.
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