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Davio bought some potatoes and celery. The potatoescost $0.69 per pound, and the celery cost $0.99 perpound. If Davio spent $5.34 in total and boughttwice as many pounds of celery as pounds ofpotatoes, how many pounds of celery did Davio buy?A) 2B) 2.5C) 2.67D) 4

Question

Davio bought some potatoes and celery. The potatoescost 0.69perpound,andthecelerycost0.69 per pound, and the celery cost 0.99 perpound. If Davio spent $5.34 in total and boughttwice as many pounds of celery as pounds ofpotatoes, how many pounds of celery did Davio buy?A) 2B) 2.5C) 2.67D) 4

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Solution

Let's denote the weight of the potatoes as P and the weight of the celery as C. We know from the problem that C = 2P (since Davio bought twice as many pounds of celery as pounds of potatoes) and that 0.69P + 0.99C = 5.34 (since the total cost of the potatoes and celery is $5.34).

We can substitute C = 2P into the second equation to get 0.69P + 0.99(2P) = 5.34. Simplifying this gives 2.67P = 5.34, so P = 5.34 / 2.67 = 2.

Since C = 2P, we find that C = 2 * 2 = 4. So, Davio bought 4 pounds of celery. The answer is D) 4.

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