10.80 rupeez were divided among 45 students and each boys shoul get 22 paise and each girl should get 28 paise . How many boys and girls were present
Answers
Answered by
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Let the number of boys receiving money be x and the number of girls be y
- 22x + 28y = 1080 (1)
- x+y = 45 (2)
- Multiply (2) by 22, we get -
- 22x + 22y = 990 (3)
- Subtracting (3) from (1), we get
- 6y = 90
- y = 15
- Therefore, from (2) we get, x = 30
- Hence, number of boys = 30 and number of girls = 15
Answered by
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Step-by-step explanation:
Given 10.80 rupees were divided among 45 students and each boys should get 22 paise and each girl should get 28 paise . How many boys and girls were present
- Let m and n be number of boys and number of girls
- So m + n = 45---1
- Also 22m + 28n = 1080
- Now we get 11 m + 14n = 540—2
- Multiply eqn 1 by 11 we get
- 11m + 11n = 495
- 11m + 14n = 540
- Subtracting the equations we get
- So – 3 n = - 45
- Or n = 15
- Now m + n = 45
- Or m + 15 = 45
- Or m = 45 – 15
- Or m = 30
- So 30 boys and 15 girls were present
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