problem of flowers
Algebra
Level
2
A magician can triple pink flowers in 5 secs. and quadruple blue flowers in the same amount of time . 20 secs. after he begins, the total number of flowers is 917. find the difference between the number of pink and blue flowers, 10 secs.after he begins.
The answer is 13.
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1 solution
p-pink,b-blue
5 sec 3p , 4b
10sec 3(3p) , 4 (4b)
15sec 3(3(3p))),4(4(4b)))
20sec 3(3(3(3p)))) , 4(4(4(4b)))) = 81p+256b=917
so b=2,p=5;
at 10 seconds 9P-16B=13