High School

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Sam was involved in a competition to read as many books as possible during the first months of the year. He read 14 books in January. In February, he read 2 more books than he did in January, and in March, he read a quarter as many books as he did in February.

At the end of the competition, he received 2 tickets for each book he read. Sam earned ₹120 for every 4 tickets.

How much money did Sam earn?

Answer :

Answer: ₹2040

Step-by-step explanation:

Number of books read in January = 14

Number of books read in February = Number of books read in January + 2 = 14 + 2 = 16

Number of books read in March = [tex]\frac{1}{4}[/tex] × Number of books read in February = [tex]\frac{1}{4}[/tex] × 16 = 4

Total number of books read = January + February + March = 14 + 16 + 4 = 34

Number of tickets per book = 2

Total number of books read = 34

Total number of tickets received = Total number of books read × 2 = 34 × 2 = 68

Money earned for 4 tickets = ₹120

Money earned for 1 ticket = ₹120 ÷ 4 = ₹30

Total amount of money earned = Total number of tickets × Price of 1 ticket = 68 × ₹30 = ₹2040

∴ The total amount of money earned by Sam was ₹2040.

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Rewritten by : Barada