Answer:
Almonds = 400grams
Cashew = 300 grams
Step-by-step explanation:
Let the grams of cashew be represented by = C
the grams of almonds be represented by = A
A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel
C + A = 700g ......Equation 1
C = 700 - A
If almonds cost ₹288 per kg and cashew kernel cost ₹336 per kg
Let's convert them to grams
1 kg = 1000grams
For almonds
= 288/1000 = 0.288g
For cashew
= 336/1000 = 0.336g
Hence,
0.288 × A + 0.336g × C = ₹216
0.288A + 0.336C = 216
From Equation 1, substitute 700 - A for C in Equation 2
0.288A + 0.336(700 - A) = 216
0.288A + 235.2 - 0.336A = 216
Collect like terms
0.288A - 0.336A = 216 - 235.2
- 0.048A = -19.2
A = -19.2/-0.048
A = 400 grams
Substitute 400g for a in Equation 1
C + A = 700g ......Equation 1
= C + 400g = 700g
C = 700g - 400g
C = 300g
Therefore, the number of grams of Almonds = 400grams
Cashew = 300 grams
