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

Algebra ->  Sequences-and-series -> 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       Log On


   

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) About Me  (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,+2x%2F3+=+3%2815-x%29%2F4+-+1%2F5.Multiply both sides by 60, the LCD.
then 40x+=+45%2815+-+x%29+-+12,
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.