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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
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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