In a mixture of two types of tea, if the first type costs $5 per kg and the seco
Practice Questions
Q1
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.
