Rubina could get equal number of ₹ 55 , ₹ 85 and ₹ 105 tickets for a movie. She spents ₹ 2940 for all the tickets. How many of each did she buy?
(a) 12
(b) 14
(c) 16
(d) Cannot be determined
(e) None of these
Rubina could get equal number of ₹ 55 , ₹ 85 and ₹ 105 tickets for a movie. She spents ₹ 2940 for all the tickets. How many of each did she buy? (a) 12 (b) 14 (c) 16 (d) Cannot be determined (e) None of these
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Solution
Let’s denote the number of tickets of each denomination that Rubina bought as \(n\). Therefore, she bought \(n\) tickets each of ₹55, ₹85, and ₹105.
The total amount spent on tickets can be expressed as:
\[
55n + 85n + 105n = 2940
\]
Simplifying the left side of the equation gives us:
\[
245n = 2940
\]
Dividing both sides of the equation by 245 to solve for \(n\):
\[
n = \frac{2940}{245} = 12
\]
Therefore, Rubina bought 12 tickets of each denomination.
The correct answer is (a) 12.