SOLUTION: Cheryl is redoing her bathroom and has selected ceramic tiles for the 5 foot by 8 foot bathroom floor. The plain 6-inch square tiles cost 75 cents each; the decorative 2-inch squar

Question 1105577: Cheryl is redoing her bathroom and has selected ceramic tiles for the 5 foot by 8 foot bathroom floor. The plain 6-inch square tiles cost 75 cents each; the decorative 2-inch squares cost $1.25 each. If Cheryl's total cost for the flooring is to be $246, how many decorative tiles can she get?
A) 108
B) 148
C) 209
D) 241
I know the answer is A but I have no idea why. Thanks!

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Let x be the number of decorative 2x2 inch tiles
Let y be the number of plain 6x6 inch tiles

In square inches, the area of each decorative tile is 4; the area of each plain tile is 36; the area of the whole floor is 60*96 = 5760:

(1) [divide by the common factor of 4]

The cost of each decorative tile is $1.25; the cost of each plain tile is $0.75; the total cost is $246:

(2) [multiply by 4 to get rid of the decimals]

The problem asks for x, the number of decorative tiles she can get; so use elimination with equations (1) and (2) to eliminate y. Multiply equation (2) by 3 and subtract equation (1):

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