A 700 gm dry fruit pack costs Rs 216. It contains some almonds and the rest cashew kernel. If Almonds cost Rs 288 per kg and cashew kernel cost Rs 336 per kg, what are the quantities of the two dry fruits separately?
Let x and y be the amount of almonds and cashew kernels in gms.
x + y = 700 ..................(1)
Almond cost = Rs. 288/kg = Rs. 288/1000gm = Rs. 0.288/gm
and cashew kernels = Rs 0.336/gm
0.288x + 0.336y = 216.........(2)
(2) - 0.288(1) gives,
0.336y - 0.288y = 216 - 0.288(700)
y = 300.
and x = 400.
It contains 400 gm almonds and 300 gm cashew kernels.