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Almonds cost ₹700/kg. Henry bought 500 g of almonds.
How much will it cost him?
Answers
Answer:
Explanation:
Let the quantity of almonds be x and for the cashew be y.
A 700 g dry fruit pack costs Rs. 216, which contains some almonds and the rest cashew kernel.
According to question,
→ x + y = 700
→ x = 700 - y
Also given that, almonds cost Rs. 288 per kg and cashew kernel cost Rs. 336 per kg.
Now, first we have to convert it into g.
To convert kg intong divide by 1000.
→ For almonds: 288/1000 = 0.288 g
→ For cashew: 336/1000 = 0.366 g
As per the given condition,
→ 0.288x + 0.366y = 216
From above
→ 0.288(700 - y) + 0.366y = 216
→ 201.6 - 0.288y + 0.366y = 216
→ 0.078y = 14.4
→ y = 184.61
Substitute value of y in x
→ x = 700 - 184.61
→ x = 515.38
Therefore,
Quantities of two dry fruits i.e. for almond it is 515.38 gm and for cashew it is 184.61 gm
Verification
A 700 g dry fruit contains both almonds and cashew.
→ 515.38 + 184.61 = 700
→ 700.00 = 700
→ 700 = 700