Question
A pen costs Rs. 6 each, and a marker costs Rs. 5 each. A
person purchased some pens and markers for a total of Rs. 100. In how many ways could he have bought the two items?Solution
ATQ, Let the number of Pen and Marker bought be ‘p’ and ‘b’, respectively According to the question, 6p + 5b = 100 Since, 5b and 100 both are multiples of 5 therefore, ‘p’ must be a multiple of 5 Therefore, possible values of p = 0, 5, 10, 15 And, corresponding values of b = 20, 14, 8, 2 Therefore, he could have bought the items in 4 ways.
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