Movie time!!!
Algebra
Level
2
Two boys and two girls went for a movie. Each boy had spent Rs.X while each girl spent Rs.50 less than each boy. If the product of the total amount spent by the boys and the total amount spent by the girls(both in Rs.) is 416, then find the amount spent by each girl.
Rs.2
Rs.50
Rs.0
Rs.52
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1 solution
Hello,
As boy = X , girl = X - 50,
2X(2X - 100) = 416 as stated,
4X^2 - 200X - 416 = 0,
X^2 - 50X - 104 = 0,
factor out, take X = 52,
girl = X - 50 = 52 -50 = 2....
Therefore, the answer is Rs.2......