Davio bought some potatoes and celery. The potatoes cost $ 0.69 per pound, and the celery cost $ 0.99 per

Question

Davio bought some potatoes and celery. The potatoes cost $dollar sign 0.69$ per pound, and the celery cost $dollar sign 0.99$ per pound. If Davio spent $dollar sign 5.34$ in total and bought twice as many pounds of celery as pounds of potatoes, how many pounds of celery did Davio buy?

A.

$2$

B.

$2.5$

C.

$2.67$

D.

$4$

Accepted Answer

Choice D is correct. Let p represent the number of pounds of potatoes and let c represent the number of pounds of celery that Davio bought. It&rsquo;s given that potatoes cost $ 0.69 per pound and celery costs $ 0.99 per pound. If Davio spent $ 5.34 in total, then the equation 0.69 p + 0.99 c = 5.34 represents this situation. It&rsquo;s also given that Davio bought twice as many pounds of celery as pounds of potatoes; therefore, c = 2 p . Substituting 2 p for c in the equation 0.69 p + 0.99 c = 5.34 yields 0.69 p + 0.99 2 p = 5.34 , which is equivalent to 0.69 p + 1.98 p = 5.34 , or 2.67 p = 5.34 . Dividing both sides of this equation by 2.67 yields p = 2 . Substituting 2 for p in the equation c = 2 p yields c = 2 2 , or c = 4 . Therefore, Davio bought 4 pounds of celery. Choice A is incorrect. This is the number of pounds of potatoes, not the number of pounds of celery, Davio bought. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors.

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