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# How many kilograms of tea worth ₹300/kg should be mixed with 10kg of tea worth ₹240/kg to produce a mixture to cost ₹260/kg?

We'll form the equation to compare the total price of each variety with the total price of the mixture.

## Answer: 5kg of tea worth ₹300/kg was mixed.

Let's find the weight of the tea worth ₹300/kg to produce a mixture to cost ₹260/kg

**Explanation:**

Let x kg of tea worth ₹300/kg be used to be mixed.

Since 10kg of tea worth ₹240/kg is mixed, the total weight of the mixture must be (10 + x)kg which costs ₹260/kg.

Therefore, the above condition can be used to form the following equation to compare the total price of each variety with the total price of the mixture:

300 × x + 240 × 10 = 260 × (10 + x)

300x + 2400 = 2600 + 260x

300x - 260x = 2600 - 2400

40x = 200

x = 5

Therefore, 5kg of tea worth ₹300/kg was mixed.

### Thus, 5kg of tea worth ₹300/kg was mixed.

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