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I bought a number of books one day, four times of them on the next day, and eight times on the third day. In all I bought 78 books. How many books did I buy the second day?
- a)6
- b)8
- c)16
- d)24
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
I bought a number of books one day, four times of them on the next day...
Understanding the Problem
You bought books over three days with different quantities each day. Let’s break it down step by step.
Let x = Books bought on the first day
- On the first day, you bought x books.
- On the second day, you bought 4 times that amount: 4x books.
- On the third day, you bought 8 times that amount: 8x books.
Setting Up the Equation
Now, we can express the total number of books bought over the three days:
- Total books = Books on Day 1 + Books on Day 2 + Books on Day 3
- Total books = x + 4x + 8x
This simplifies to:
- Total books = 13x
Using the Given Information
According to the problem, you bought a total of 78 books:
- 13x = 78
Solving for x
Now, divide both sides by 13 to find x:
- x = 78 / 13
- x = 6
Calculating Books on the Second Day
Now that we know x, we can find the number of books bought on the second day:
- Books on the second day = 4x = 4 * 6 = 24
Conclusion
Thus, the number of books you bought on the second day is 24, which corresponds to option 'D'.
You bought books over three days with different quantities each day. Let’s break it down step by step.
Let x = Books bought on the first day
- On the first day, you bought x books.
- On the second day, you bought 4 times that amount: 4x books.
- On the third day, you bought 8 times that amount: 8x books.
Setting Up the Equation
Now, we can express the total number of books bought over the three days:
- Total books = Books on Day 1 + Books on Day 2 + Books on Day 3
- Total books = x + 4x + 8x
This simplifies to:
- Total books = 13x
Using the Given Information
According to the problem, you bought a total of 78 books:
- 13x = 78
Solving for x
Now, divide both sides by 13 to find x:
- x = 78 / 13
- x = 6
Calculating Books on the Second Day
Now that we know x, we can find the number of books bought on the second day:
- Books on the second day = 4x = 4 * 6 = 24
Conclusion
Thus, the number of books you bought on the second day is 24, which corresponds to option 'D'.
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Community Answer
I bought a number of books one day, four times of them on the next day...
x + 4x + 8x = 78 ⇒ x = 6
In second day, he bought, 4 × 6 = 24 books.
In second day, he bought, 4 × 6 = 24 books.
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I bought a number of books one day, four times of them on the next day, and eight times on the third day. In all I bought 78 books. How many books did I buy the second day?a)6b)8c)16d)24Correct answer is option 'D'. Can you explain this answer?
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