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Bunuel
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Bill needs 864 tiles to tile a bathroom. He can buy tiles individually 08 May 2022, 02:19
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C
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81% (01:47) correct 19% (01:50) wrong based on 573 sessions

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Bill needs 864 tiles to tile a bathroom. He can buy tiles individually for $0.40 each, and he can buy them in boxes of 100 for $32.50 per box. What is the least amount that Bill must pay to buy the tiles he needs?

A. $260.00
B. $280.80
C. $285.60
D. $292.50
E. $345.60


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C
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Bill needs 864 tiles to tile a bathroom. He can buy tiles individually Updated on: 19 May 2022, 05:17
Originally posted by NirupaD on 12 May 2022, 23:12.
Last edited by NirupaD on 19 May 2022, 05:17, edited 2 times in total.
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Bill needs 864 tiles to tile a bathroom. He can buy tiles individually for $0.40 each, and he can buy them in boxes of 100 for $32.50 per box. What is the least amount that Bill must pay to buy the tiles he needs?


- 100 tiles , 8 boxes costs
= 32.50 * 8
=260

- 0.40 each cost for remaining 64 tiles = 64*0.40=25.60

=260 + 25.60 = 285.60

answer C
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Bill needs 864 tiles to tile a bathroom. He can buy tiles individually 19 May 2022, 00:55
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Bunuel
Bill needs 864 tiles to tile a bathroom. He can buy tiles individually for $0.40 each, and he can buy them in boxes of 100 for $32.50 per box. What is the least amount that Bill must pay to buy the tiles he needs?

A. $260.00
B. $280.80
C. $285.60
D. $292.50
E. $345.60


Source: Skills Insight
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Bunuel, KarishmaB or any other math expert,
can you provide solution for this question? i am getting B instead of OA C.
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Bill needs 864 tiles to tile a bathroom. He can buy tiles individually 19 May 2022, 03:10
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NirupaD
Bunuel
Bill needs 864 tiles to tile a bathroom. He can buy tiles individually for $0.40 each, and he can buy them in boxes of 100 for $32.50 per box. What is the least amount that Bill must pay to buy the tiles he needs?

A. $260.00
B. $280.80
C. $285.60
D. $292.50
E. $345.60


Source: Skills Insight


Bunuel, KarishmaB or any other math expert,
can you provide solution for this question? i am getting B instead of OA C.
Show more

Cost per one tile is less when buying in boxes of 100, than buying them individually: $32.5/100 < $0.4. So, let's buy as many boxes of 100 as we can and buy the remaining tiles individually. That would cost us \(8*\$32.5 + 64*\$0.4\). Notice that each option among answer choices has different tenths' digit, so instead of calculating the exact sum let's get the tenths' digit of the sum:

\(8*\$32.5 + 64*\$0.4=xxx.0+xxx.6=xxx.6\). Notice that 64 individual tiles cost less than one box of 100 (\(64*\$0.4 < $32.5\). No need to calculate this: 64*$0.4 is less than half of 64, so less than 32.5). So, buying 9 boxes of 100 would be more expensive than the case we chose.

Answer: C.

P.S. BTW this is new GMAT Prep question.
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Bill needs 864 tiles to tile a bathroom. He can buy tiles individually 19 May 2022, 05:10
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NirupaD
Bunuel
Bill needs 864 tiles to tile a bathroom. He can buy tiles individually for $0.40 each, and he can buy them in boxes of 100 for $32.50 per box. What is the least amount that Bill must pay to buy the tiles he needs?

A. $260.00
B. $280.80
C. $285.60
D. $292.50
E. $345.60


Source: Skills Insight


Bunuel, KarishmaB or any other math expert,
can you provide solution for this question? i am getting B instead of OA C.

Cost per one tile is less when buying in boxes of 100, than buying them individually: $32.5/100 < $0.4. So, let's buy as many boxes of 100 as we can and buy the remaining tiles individually. That would cost us \(8*\$32.5 + 64*\$0.4\). Notice that each option among answer choices has different tenths' digits, so instead of calculating the exact sum let's get the tenths' digit of the sum:

\(8*\$32.5 + 64*\$0.4=xxx.0+xxx.6=xxx.6\). Notice that 64 individual tiles cost less than one box of 100 (\(64*\$0.4 < $32.5\). No need to calculate this: 64*$0.4 is less than half of 64, so less than 32.5). So, buying 9 boxes of 100 would be more expensive than the case we chose.

Answer: C.

P.S. BTW this is new GMAT Prep question.
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Kudos to you Bunuel, i totally misunderstood question earlier. :)
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Bill needs 864 tiles to tile a bathroom. He can buy tiles individually 06 Apr 2025, 00:10
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Bunuel
Bill needs 864 tiles to tile a bathroom. He can buy tiles individually for $0.40 each, and he can buy them in boxes of 100 for $32.50 per box. What is the least amount that Bill must pay to buy the tiles he needs?

A. $260.00
B. $280.80
C. $285.60
D. $292.50
E. $345.60
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1 tile cost = 0.4
1 tile cost in a box = 32.50/100 = 0.325

To pay least amount Bill should buy where the per tile cost is minimum i.e. he should buy maximum tiles in box

864 tiles = 8 boxes of 100 tiles each + 64 tiles = 32.5*8 +64*.4 = 285.6


Answer: Option C
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