SOLUTION: The ratio of the number of biscuits that Andy and Betty has was 2:5. After Andy bought 24 more biscuits , the ratio became 16:10. If there were 6 biscuits in a pack, how many packs

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Question 1163003: The ratio of the number of biscuits that Andy and Betty has was 2:5. After Andy bought 24 more biscuits , the ratio became 16:10. If there were 6 biscuits in a pack, how many packs of biscuits would Betty have to buy so that they would have the same number of biscuits in the end??
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Andy had 2x biscuits initially;  Batty had 5x.


After Andy bought 24 more biscuits, we gave this equation


    %282x%2B24%29%2F5x = 16%2F10.


It implies  


    10*(2x+24) = 16*(5x)

    20x + 240 = 80x

    240       = 80x - 20x

    240       = 60x

      x       = 240%2F60 = 4.


So, Andy had initially 2*4 = 8 biscuits;  Betty had 5*4 = 20 biscuits.


When Andy bought 24 biscuits, the number of biscuits in his possession became  8+24 = 32.


So, Betty should buy  %2832-20%29%2F6 = 12%2F6 = 2 packs of biscuits.      ANSWEWR

Solved.