SOLUTION: Two cakes, A and B, weigh 15 kg altogether. If 1/3 of cake A and 1/4 of cake B are sold, the remaining part of cake A is 1/5 kg less than the remaining part of cake B. If cake A

Question 386839: Two cakes, A and B, weigh 15 kg altogether. If 1/3 of cake A and 1/4 of cake B are sold, the remaining part of cake A is 1/5 kg less than the remaining part of cake B. If cake A weighs x kg, form an equation in x and solve.

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
weight of cake A = x
weight of cake B = 15 - x
after purchase, 2x/3 of cake A remains, while 3(15-x)/4 of cake B remains.
From the given,.Multiply both sides by 60, the LCD.
then ,
40x = 675 - 45x - 12,
85x = 663,
x = 7.8 kg, the weight of cake A, and
15 - x = 7.2 kg, the weight of cake B.
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