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 pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. X spends Rs. 38 on these fruits. The number of pineapples purchased is

1. A
$2$
2. B
$3$
3. C
$4$
4. D
Data inadequate

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### Solution:

Concept- Using concepts of linear equation in two variables the cost of a pineapple and cost of a watermelon can be determined. X spends Rs. 38 on these fruits. The cost of ‘m’ pineapples is Rs. m and the cost of ‘n’ watermelons is Rs. n. The total amount on these fruits is $7m+5n=38$
$\mathit{Cost of each pineapple}=7$
$\mathit{Cost of each watermelon}=5$
Total amount on these fruits is,
$7m+5n=38$
$7m=38-5n$
$m=\frac{38-5n}{7}$
$n=2$.
Changing the value of n in the equation above,
$m=\frac{38-5×2}{7}$
$m=\frac{28}{7}$
$m=4$
Hence, option 3 is correct.

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