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gadeshowreddy... asked this question on Class VII » Math » Simple Equations

A sum of rs.3000 is to be givenin form of 63 prizes. If the prize money is either rs.100 or rs. 25 . Find the number of prizes of each type?

Asked by gadeshowreddy...(teacher), on 24/6/12
Answers

Here is the answer to your question.
Total sum = Rs 3000
Total number of prizes = 63
Let the number of prizes, each of Rs 100 be 'x’ and number of prizes, each of Rs 25 be 'y '
Then according to question
x + y = 63 (1)
100x + 25y = 3000 (2)
Equation (2) gives 4x + y = 120 (3)
Subtracting equation (1) form equation (3):
4x + y – x – y = 120 – 63
3x = 57
x = 19
Putting x = 19 into equation (1)
19 + y = 63
y = 63 – 19 = 44
Number of prizes, each of Rs 100 = 19
Number of prizes, each of Rs 25 = 44
Hope! This helps you.
Cheers!

Posted by vsnuma(teacher), on 30/6/12

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