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A merchant sells three different sizes of canned tomatoes. A large can
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25 May 2023, 05:49
25 May 2023, 05:49
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A merchant sells three different sizes of canned tomatoes. A large can costs the same as 5 medium cans or 7 small cans. If a customer purchases an equal number of small and large cans of tomatoes for the same amount of money needed to buy 200 medium cans, how many small cans does she purchase?
A. 35
B. 45
C. 72
D. 199
E. 208
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A. 35
B. 45
C. 72
D. 199
E. 208
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
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Re: A merchant sells three different sizes of canned tomatoes. A large can
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28 May 2023, 02:21
28 May 2023, 02:21
Expert Reply
OE
While the relationship among the can prices is provided, no actual numbers are supplied, so try plugging in some numbers for can prices. A good number to choose for the cost of the large cans is the value of the small can multiplied by the value of the medium can, or $5 × $7 = $35. This means the medium can costs 35/5=$7 and the small can costs 35/7=$5
The amount of money needed to buy 200 medium cans is 200 × $7 = $1,400. Now PITA. Start with (C). If the customer purchases 72 small cans, that will cost her 72 × $5 = $360. If she purchases 72 small cans, she also purchases 72 large cans so 72 × $35 = $2,520, which is more than the $1,400 spent on medium cans. This number is too great, so eliminate (C), (D), and (E). Choice (B) also works out to be too great, which leaves (A). 35 small cans × $5 a can = $175. 35 large cans × $35 = $1,225. $1,225 + $175 = $1,400, the same price as the medium cans. Choice (A) is correct.
While the relationship among the can prices is provided, no actual numbers are supplied, so try plugging in some numbers for can prices. A good number to choose for the cost of the large cans is the value of the small can multiplied by the value of the medium can, or $5 × $7 = $35. This means the medium can costs 35/5=$7 and the small can costs 35/7=$5
The amount of money needed to buy 200 medium cans is 200 × $7 = $1,400. Now PITA. Start with (C). If the customer purchases 72 small cans, that will cost her 72 × $5 = $360. If she purchases 72 small cans, she also purchases 72 large cans so 72 × $35 = $2,520, which is more than the $1,400 spent on medium cans. This number is too great, so eliminate (C), (D), and (E). Choice (B) also works out to be too great, which leaves (A). 35 small cans × $5 a can = $175. 35 large cans × $35 = $1,225. $1,225 + $175 = $1,400, the same price as the medium cans. Choice (A) is correct.
gmatclubot
Re: A merchant sells three different sizes of canned tomatoes. A large can [#permalink]
28 May 2023, 02:21
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