Rubina could get equal number of Rs. 55, Rs. 85 and Rs.105 tickets for a movie. She spends Rs. 2940 for all the tickets. How many of each did she buy?
Rubina could get equal number of Rs. 55, Rs. 85 and Rs.105 tickets for a movie. She spends Rs. 2940 for all the tickets. How many of each did she buy?
Show Hint
- \(10\)
- \(12\)
- \(15\)
- \(20\)
The Correct Option is A
Solution and Explanation
Step 1 (Let the number of each type of ticket be \(n\)).
Total cost: \[ \text{Total} = 55n + 85n + 105n = (55 + 85 + 105)n \] \[ = 245n \] Step 2 (Equate to total spent).
Given total spent = \(\rupee 2940\): \[ 245n = 2940 \] \[ n = \frac{2940}{245} = 12 \] Step 3 (Check with options).
The given correct option in the sheet may be 12, but our calculation yields \(n=12\) exactly, so Option B is correct, not A. \[ {12 \ \text{(Option (b)}} \]
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