At an archeological ruins site, flat tile fragments are discovered tha

Question

At an archeological ruins site, flat tile fragments are discovered that have a collective surface area of 298 square feet. If the area of each fragment is at least 15 square feet, what is the greatest number of fragments that could be present in the discovery?

A. 17

B. 18

C. 19

D. 20

E. 21

A. 17

B. 18

C. 19

D. 20

E. 21

Businessconquerer · Answer

298/15

You can say it is something less tha 300/15
Clearly so 
Less than 20
Answer should be 19
As they have asked the max number

SajjadAhmad

Kinshook · Answer

Given: At an archeological ruins site, flat tile fragments are discovered that have a collective surface area of 298 square feet.

Asked: If the area of each fragment is at least 15 square feet, what is the greatest number of fragments that could be present in the discovery?

298= 15*19+17

Greatest number of fragments that could e present in the discovery =19

IMO C

Posted from my mobile device

warrior1991 · Answer

15*19 --> 285 .

Adding 17 more would go to 302. Please check.

It should be 15*18+28 in my opinion.

Answer should be 19.

amarsinha · Answer

Collective surface area = 298 sq ft. So, the total no. of tiles has to be less than 20 as 15*20 = 300

To have greatest no. of tiles, the area of each tile has to be minimum. Lets take it as 15.

So for 19 tiles of area 15sq ft, the collective area will be 19*15 = 285. Extra area = 298-285 = 13 sq ft. But it is said that the minimum area of each tile has to be 15 sq ft. As 13 sq ft is smaller than 15. So, we cannot have 19 tiles of 15 sq ft. It has to be less.

For 18 tiles of area 15sq ft, the area of tiles fragments = 18*15 = 270. The extra area = 298 - 270 = 28 which is justified as 28 > 15. 
So, in all 18 tiles with area of 15 and 1 tile with area of 28. 
Total 19 tiles. 
Ans. C.

ScottTargetTestPrep · Answer

Dividing 298 by 15, we have a quotient of 19 and some nonzero remainder. Thus, the largest number of fragments that could be present in the discovery is 19.

Answer: C

At an archeological ruins site, flat tile fragments are discovered tha

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