Question

Cost of $2$ apples, $3$ bananas and one coconut is Rs.$26$. Also the cost of $3$ apples, $2$ bananas and two coconuts is Rs.$35$. Then the cost of $12$ apples, $13$ bananas and $7$ coconuts is

• A. Rs.$172$
• B. Rs.$148$
• C. Rs.$143$
• D. Rs.$126$

Answer 1

Answer: (B)

Rs.$148$

Let $A$ represent an apple, $B$ represent a banana and $C$ represent a coconut.

$2A+3B+1C=\mathrm{26...}\left(1\right)$
$3A+2B+2C=\mathrm{35....}\left(2\right)$
$\left(1\right)\times 3+\left(2\right)\times 2$
we get
$12A+13B+7C=26\times 3+35\times 2=148$