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A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. X spends Rs. 38 on these fruits. The number of pineapples purchased is
- a)2
- b)3
- c)4
- d)Data inadequate
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A pineapple costs Rs.7 each. A watermelon costs Rs.5 each. X spends Rs...
Let the number of pineapples and watermelons be x and y respectively.
Then, 7x+5y=38 or 5y=(38−7x) or y=
5
38−7x
.
Clearly, y is a whole number, only when (38−7x) is divisible by 5.
This happens when x=4.
Most Upvoted Answer
A pineapple costs Rs.7 each. A watermelon costs Rs.5 each. X spends Rs...
Let's assume that X purchased 'p' pineapples and 'w' watermelons.
Given that each pineapple costs Rs. 7 and each watermelon costs Rs. 5, we can write the following equations based on the given information:
Equation 1: Total cost of pineapples = 7p
Equation 2: Total cost of watermelons = 5w
Equation 3: Total cost of both fruits = 7p + 5w
We know that X spent Rs. 38 on these fruits. Therefore, we can write the equation:
Equation 4: 7p + 5w = 38
We need to find the number of pineapples purchased, which is 'p'.
To solve the problem, we need to find the value of 'p' that satisfies Equation 4.
Using trial and error, we can substitute different values of 'p' and 'w' to check if they satisfy Equation 4:
When p = 1 and w = 7, we get: 7(1) + 5(7) = 7 + 35 = 42 (not equal to 38)
When p = 2 and w = 6, we get: 7(2) + 5(6) = 14 + 30 = 44 (not equal to 38)
When p = 3 and w = 5, we get: 7(3) + 5(5) = 21 + 25 = 46 (not equal to 38)
When p = 4 and w = 4, we get: 7(4) + 5(4) = 28 + 20 = 48 (not equal to 38)
From the above calculations, we can see that none of the values of 'p' and 'w' satisfy Equation 4.
Therefore, the given data is inadequate to determine the number of pineapples purchased.
Hence, the correct answer is option 'd' - Data inadequate.
Given that each pineapple costs Rs. 7 and each watermelon costs Rs. 5, we can write the following equations based on the given information:
Equation 1: Total cost of pineapples = 7p
Equation 2: Total cost of watermelons = 5w
Equation 3: Total cost of both fruits = 7p + 5w
We know that X spent Rs. 38 on these fruits. Therefore, we can write the equation:
Equation 4: 7p + 5w = 38
We need to find the number of pineapples purchased, which is 'p'.
To solve the problem, we need to find the value of 'p' that satisfies Equation 4.
Using trial and error, we can substitute different values of 'p' and 'w' to check if they satisfy Equation 4:
When p = 1 and w = 7, we get: 7(1) + 5(7) = 7 + 35 = 42 (not equal to 38)
When p = 2 and w = 6, we get: 7(2) + 5(6) = 14 + 30 = 44 (not equal to 38)
When p = 3 and w = 5, we get: 7(3) + 5(5) = 21 + 25 = 46 (not equal to 38)
When p = 4 and w = 4, we get: 7(4) + 5(4) = 28 + 20 = 48 (not equal to 38)
From the above calculations, we can see that none of the values of 'p' and 'w' satisfy Equation 4.
Therefore, the given data is inadequate to determine the number of pineapples purchased.
Hence, the correct answer is option 'd' - Data inadequate.
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