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A rectangular floor of dimensions 60m*40m is to be covered with two

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Joined: 15 Dec 2015
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A rectangular floor of dimensions 60m*40m is to be covered with two  [#permalink]

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New post 30 Jul 2017, 22:24
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5
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A
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E

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  55% (hard)

Question Stats:

73% (03:12) correct 27% (02:59) wrong based on 77 sessions

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A rectangular floor of dimensions 60m*40m is to be covered with two types of tiles square tiles of dimensions 4m each and rectangular tiles of dimensions 5m*6m each.If the number of square tiles as well the rectangular tiles is a multiple of 12, what is the total number of tiles on the floor?

A. 48
B. 60
C. 108
D. 154
E. 129
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Re: A rectangular floor of dimensions 60m*40m is to be covered with two  [#permalink]

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New post 30 Jul 2017, 22:53
5
2
Area of the rectangular floor : 60*40 = 2400

Area of the square tile : 4^2
Area of the rectangular tile : 6*5
Let there be x square tiles and y rectangular tiles.
It has been given that both the square and rectangular tiles are multiples of 12.

Therefore
12x(4^2) + 12y(6*5) =2400
12*2(8x + 15y) = 2400
8x + 15y = 100
Since we need the total number of tiles on the floor x=5,y=4.

The total number of tiles is 12(x+y) = 12*9 = 108(Option C)
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Re: A rectangular floor of dimensions 60m*40m is to be covered with two  [#permalink]

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New post 30 Jul 2017, 22:33
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DH99 wrote:
A rectangular floor of dimensions 60m*40m is to be covered with two types of tiles square tiles of dimensions 4m each and rectangular tiles of dimensions 5m*6m each.If the number of square tiles as well the rectangular tiles is a multiple of 12, what is the total number of tiles on the floor?

A. 48
B. 60
C. 108
D. 154
E. 129

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Re: A rectangular floor of dimensions 60m*40m is to be covered with two  [#permalink]

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New post 09 Aug 2018, 16:08
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Re: A rectangular floor of dimensions 60m*40m is to be covered with two &nbs [#permalink] 09 Aug 2018, 16:08
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