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A Pineapple Costs Rs. 7 Each. A Watermelon Costs Rs. 5 Each. X Spends Rs. 38 on those Fruits. The Number of Pineapples Purchased is?

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Explanation

  • A pineapple costs Rs. 7 each.
  • A watermelon costs Rs. 5 each.
  • X spends Rs. 38 on those fruits.

Let suppose “p” denotes pineapple and “w” denotes watermelon.

Now;

7p + 5w = 38

7p = 38 – 5w

p = (38 – 5w)/7

Clearly, p is a whole number only when (38 – 5w) is divisible by 7. This happens when w = 2 (and p = 4).

To Find

Number of pineapples purchased = ?

Solution

Let suppose “p” denotes pineapple and “w” denotes watermelon.

Now according to the given condition;

7p + 5w = 38

7p = 38 – 5w

p = (38 – 5w)/7

Suppose w = 0

p = (38 – 0)/7 = 38/7 (p is not a whole number here)

Suppose w = 1

p = (38 – 5)/7 = 33/7 (p is not a whole number again)

Suppose w = 2

p = (38 – 10)/7 = 4 (that’s the result we want)

Number of pineapples purchased = 4 answer

Conclusion

A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. X spends Rs. 38 on those fruits. The number of pineapples purchased are 4.

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