Question

9 apples and 4 pears cost Rs 11 while 5 apples and 2 pears cost Rs 7.How much apple and each pear cost?

Answer 1

The cost of an apple = Rs. 3 and the cost of apples = - Rs. 4.

Step-by-step explanation:

Let cost of an apple = Rs. x and cost of a pear = Rs.  y

To find, cost of an apple =? and cost of pear a cost = ?

According to question,

$9x+4y=11 <strong>...(1)$

Also,

$5x+2y=7 ...(2)$

Multying (2) × 2 and subtracting (1), we get

x = 3

Put x = 3 in equation (1), we get

$9\times 3+4y=11$

⇒ $4y=27-11= - 16$

⇒ $y=- 4$

Hence, the cost of an apple = Rs. 3 and the cost of apples = - Rs. 4.