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Mathematics

Grade-8

Easy

Question

For furnishing and tiles, the plain white tiles cost $80 for 6 tiles; a bed costs $160, the design tile costs $100 for 5 tiles. The costliest among the following is

A bed, 3 white and 2 design tiles
A bed, 3 white and 3 design tiles
A bed, 6 white tiles
12 white and 10 design tiles

hint Hint:

Try solving the options in order to determine the answer.

The correct answer is: 12 white and 10 design tiles

$C o s t space o f space 6 space p l a i n space w h i t e space t i l e s space equals space $ 80 T h e r e f o r e comma space cos t space o f space 1 space p l a i n space w h i t e space t i l e space equals space x space equals space 80 over 6 space equals $ space open parentheses 40 over 3 close parentheses C o s t space o f space a space b e d space equals space y space equals space $ 160 C o s t space o f space 5 space d e s i g n space t i l e s space equals space $ 100 C o s t space o f space 1 space d e s i g n space t i l e space equals space z space equals space 100 over 5 space equals space $ 20 T o space d e t e r m i n e space t h e space cos t l i e s t space a m o n g space t h e space o p t i o n s comma space w e space n e e d space t o space s o l v e space i t. A right square bracket space A space b e d space plus space 3 space w h i t e space t i l e s space plus space 2 space d e s i g n space t i l e s equals space y space plus space 3 x space thin space plus space 2 z equals space 160 space thin space plus space 3 open parentheses 40 over 3 close parentheses space plus space 2 open parentheses 20 close parentheses equals space 160 space plus space 40 space plus space 40 equals space $ 240 B right square bracket space A space b e d space plus space 3 space w h i t e space t i l e s space plus space 3 space d e s i g n space t i l e s equals space y space plus space 3 x space thin space plus space 3 z equals space 160 space thin space plus space 3 open parentheses 40 over 3 close parentheses space plus space 3 open parentheses 20 close parentheses equals space 160 space plus space 40 space plus space 60 equals space $ 260 C right square bracket space A space b e d space plus space 6 space w h i t e space t i l e s equals space 160 space plus space 6 open parentheses 40 over 3 close parentheses equals space 160 space plus space 80 equals space $ 240 D right square bracket space 12 space w h i t e space t i l e s space plus space 10 space d e s i g n space t i l e s equals space 12 open parentheses 40 over 3 close parentheses space plus space 10 open parentheses 20 close parentheses equals space 160 space plus space 200 equals space $ 360 H e n c e comma space O p t i o n space D space i. e. space t h e space cos t space o f space 12 space w h i t e space t i l e s space a n d space 10 space d e s i g n space t i l e s space i s space t h e space cos t l i e s t space a m o n g space t h e space f o l l o w i n g.$

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