how many kilos of tea worth rs. 72 per kg should be mixed with 10kg of tea worth rs. 90 per kg to produce a mixture which will cost rs. 78 per kg
Answers
Answered by
87
Let the required number of kilos of tea be x.
⇒According to the problem,
72x+10*90=78(10+x) ....(making the prices equal)
⇒72x+900=780+78x
⇒900-780=78x-72x
⇒120=6x
⇒x=120/6=20
Ans: 20 kilos of tea must be mixed .
⇒According to the problem,
72x+10*90=78(10+x) ....(making the prices equal)
⇒72x+900=780+78x
⇒900-780=78x-72x
⇒120=6x
⇒x=120/6=20
Ans: 20 kilos of tea must be mixed .
Answered by
14
20 kg of tea costing Rs. 72 per kg must be mixed.
Step-by-step explanation:
Given that,
Two types of tea
Type I = Rs. 72 per kg
Type II = Rs. 90 per kg
Let the amount of Type I = x
The amount of Type II tea = 10 kg (given)
Total tea = (x + 10)Kg
Cost of total tea = {(72 * x) + (10 * 90)}
= (72x + 900)
Given that,
(72x + 900) = 78(x + 10)
⇒ 72x + 900 = 78x + 780
⇒ 900 - 780 = 78x - 72x
⇒ 120 = 6x
⇒ x = 120/6
∵ x = 20
Thus, 20 kg is the amount of Type I(Rs. 72 per kg) tea that must be mixed with 10 kg of Type II tea(Rs. 90 per kg) to make a mixture of Rs. 78 per kg.
Learn more: Find the cost
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