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Question 1114004: 1250 persons went to see a circus-show. Each adult paid ₹75 and each child paid ₹25 for the admission ticket. Find the number of adults and number of children, if the total collection from them amounts to ₹61,250
Please hlep me.... i want the woking of ever step please....
Found 4 solutions by rothauserc, greenestamps, MathTherapy, ikleyn:
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! let a be the number of adults and c be the number of children
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1) a + c = 1250
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2) 75a + 25c = 61250
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solve equation 1 for a
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a = 1250 - c
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substitute for a in equation 2
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75(1250-c) +25c = 61250
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93750 -75c +25c = 61250
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-50c = -32500
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c = 650
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a = 1250 - 650 = 600
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number of adults is 600 and number of children is 650
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check the answer with equation 2
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75(600) + 25(650) = 61250
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45000 + 16250 = 61250
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61250 = 61250
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answer checks
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Answer by greenestamps(13200)  (Show Source):
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website! 1250 persons went to see a circus-show. Each adult paid ₹75 and each child paid ₹25 for the admission ticket. Find the number of adults and number of children, if the total collection from them amounts to ₹61,250
Please hlep me.... i want the woking of ever step please....
With the number of adults being A, and children, C, we get: A + C = 1,250 ------- eq (i)
75A + 25C = 61,250 ---- eq (ii)
The easiest approach is to DIVIDE eq (ii) by its GCF, which is 25. This gives you:
3A + C = 2,450 ------ eq (ii)
Now, SUBTRACT eq (i) from the MODIFIED form of eq (ii) to ELIMINATE C and get: 2A = 1,200
A, or number of adults = 
600 + C = 1,250 ------- Substituting 600 for A in eq (i)
C, or number of children = 
Answer by ikleyn(52781)  (Show Source):
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