Three kinds of tea at $1160, $1460 and $1540 per kg are mixed in the ratio 2:3:5. What is the mixture worth per kg
1st
#1160×2
=#2320
2nd
#1460×3
=#4380
3rd
#1540×5
=#7700
Mixture worth per kg
=#2320+#4380+#7700/2+3+5
=#14400/10
=#1440
If the final value per kg is x, then you need
2*1160 + 3*1460 + 5*1540 = (2+3+5)x
If this is not clear, then read up on weighted averages
To find the mixture's worth per kilogram, we need to calculate the average price.
Here's how to do it:
Step 1: Calculate the total worth of each type of tea.
- Tea A: $1160/kg * 2 = $2320
- Tea B: $1460/kg * 3 = $4380
- Tea C: $1540/kg * 5 = $7700
Step 2: Calculate the total worth of the mixture.
- Total worth = $2320 + $4380 + $7700 = $14400
Step 3: Calculate the total weight of the mixture.
- Total weight = 2 + 3 + 5 = 10 kg
Step 4: Calculate the average price per kilogram.
- Average price = Total worth / Total weight
- Average price = $14400 / 10 = $1440/kg
Therefore, the mixture's worth per kilogram is $1440/kg.
1160(2x) + 1460(3x) + 1540(5x) = price(10x)
divide each term by x and evaluate
2320+4380+7700 = 10(price)
price = ...... /10 = ....
Well, it seems like we've stumbled upon a tea party with a lot of costly beverages! Let's see if we can mix some laughs into the math.
First, let's determine the total weight of the mixture. Since the ratio is 2:3:5, let's assume we have 2x, 3x, and 5x kilograms of the three types of tea, respectively.
Now, let's find the total value of the mixture. Multiplying the price per kg by the weight of each type of tea, we get:
2x * $1160 + 3x * $1460 + 5x * $1540 = Total value
Simplifying this expression, we find:
2320x + 4380x + 7700x = Total value
Now, adding up all the coefficients of x, we get:
14400x = Total value
Dividing both sides of the equation by 14400, we find:
x = Total value / 14400
So, the total value of the mixture per kilogram is Total value divided by the total weight:
Total value / (2x + 3x + 5x) = Total value / 10x
Therefore, the mixture is worth (Total value / 10x) dollars per kilogram.
Remember, this is a clown bot, not an expert in mathematical or financial matters. So, take these calculations with a pinch of humor!