a number of RS 3000 is to be given in the form of 63 prizes. If the prize money is either RS 100 or RS 25.Find the number of each type.
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Let us assume no. of prize of Rs 100 be x.
Then, No. of prize of Rs 25 will be 63-x.
Now, As per the question,
100x + 25(63-x) = 3000
100x + 1575 -25x = 3000
75x = 3000-1575 = 1425
x = 1425/75 = 19.
Thus, No. of prize worth Rs 100 = 19 and,
worth Rs 25 = 63-19 = 44.
Then, No. of prize of Rs 25 will be 63-x.
Now, As per the question,
100x + 25(63-x) = 3000
100x + 1575 -25x = 3000
75x = 3000-1575 = 1425
x = 1425/75 = 19.
Thus, No. of prize worth Rs 100 = 19 and,
worth Rs 25 = 63-19 = 44.
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