In a mixture of two types of tea, if the first type costs $5 per kg and the seco

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Question: In a mixture of two types of tea, if the first type costs $5 per kg and the second type costs $7 per kg, what is the cost per kg of the mixture if they are mixed in the ratio 2:3?

Options:

$6.40
$6.00
$6.20
$6.50

Correct Answer: $6.40

Solution:

Cost of mixture = (2*5 + 3*7) / (2 + 3) = (10 + 21) / 5 = 31 / 5 = $6.20.

In a mixture of two types of tea, if the first type costs $5 per kg and the seco

Practice Questions

In a mixture of two types of tea, if the first type costs $5 per kg and the second type costs $7 per kg, what is the cost per kg of the mixture if they are mixed in the ratio 2:3?

$6.40
$6.00
$6.20
$6.50

Questions & Step-by-Step Solutions

In a mixture of two types of tea, if the first type costs $5 per kg and the second type costs $7 per kg, what is the cost per kg of the mixture if they are mixed in the ratio 2:3?

Step 1: Identify the cost of the first type of tea, which is $5 per kg.
Step 2: Identify the cost of the second type of tea, which is $7 per kg.
Step 3: Determine the ratio in which the two types of tea are mixed, which is 2:3.
Step 4: Calculate the total cost contributed by the first type of tea: 2 kg * $5/kg = $10.
Step 5: Calculate the total cost contributed by the second type of tea: 3 kg * $7/kg = $21.
Step 6: Add the total costs from both types of tea: $10 + $21 = $31.
Step 7: Calculate the total weight of the mixture: 2 kg + 3 kg = 5 kg.
Step 8: Find the cost per kg of the mixture by dividing the total cost by the total weight: $31 / 5 kg = $6.20.

Weighted Average – The cost per kg of a mixture is calculated using the weighted average based on the ratio of the quantities of each type of tea.
Ratio and Proportion – Understanding how to apply ratios to determine the contribution of each type of tea to the total cost.

In a mixture of two types of tea, if the first type costs $5 per kg and the seco

What’s inside this PDF?

In a mixture of two types of tea, if the first type costs $5 per kg and the seco

Practice Questions

Questions & Step-by-Step Solutions

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