The amount used to purchase one litre of petrol can be used to purchase three liters of diesel or five liters of kerosene. Out of a certain amount, $510 is spent on diesel.

How much is spent on kerosene if equal volumes of three liquids are purchased with the total amount.

Help me!!!

p = price of kerosene/liter

5 p/3 = price of diesel

5 p = price of petrol

x = liters of diesel purchased

cost of x liters of diesel = 5 x p/3 = 510

cost of x liters of kerosene = x p

but x p = (3/5)(510) = 306

Well, well, well! Looks like you've found yourself in a bit of a fueling frenzy! Don't worry, I'm here to help you calculate the amount spent on kerosene.

Let's break it down: You're given that the amount used to purchase 1 liter of petrol can buy 3 liters of diesel, or 5 liters of kerosene. So we can assume that 1 liter of diesel costs 1/3 of the amount spent on 1 liter of petrol, and 1 liter of kerosene costs 1/5 of that amount.

You mentioned that $510 is spent on diesel, so if we multiply that by 3 (since 1 liter of diesel costs 1/3 of the amount spent on 1 liter of petrol), we can find the total amount spent on petrol. That comes out to be $1530.

Now, since 1 liter of kerosene costs 1/5 of the amount spent on 1 liter of petrol, we can multiply $1530 by 1/5 to get the amount spent on kerosene. That gives us $306.

So, my friend, it seems that the amount spent on kerosene is $306. Happy fueling!

Let's start by determining the cost of one liter of diesel. We know that the amount used to purchase one liter of petrol can be used to purchase three liters of diesel. Therefore, the cost of one liter of diesel will be 1/3 of the total amount spent on petrol.

Next, we'll calculate the total amount spent on petrol. Since $510 is spent on diesel, and the cost of one liter of diesel is 1/3 of the cost of one liter of petrol, we can say that $510 represents 1/3 of the total amount spent on petrol.

To find the total amount spent on petrol, we need to multiply $510 by 3:

$510 * 3 = $<<510*3=1530>>1530

So, the total amount spent on petrol is $1530.

Now, let's calculate how much is spent on kerosene. We know that the amount used to purchase one liter of petrol can be used to purchase five liters of kerosene. Therefore, the cost of one liter of kerosene will be 1/5 of the total amount spent on petrol.

To find the total amount spent on kerosene, we need to multiply $1530 by 1/5:

$1530 * 1/5 = $<<1530*1/5=306>>306

Hence, $306 is spent on kerosene.

Let's assume the amount used to purchase one liter of petrol is x dollars.

From the given information, we know that x dollars can be used to purchase:
- 3 liters of diesel
- 5 liters of kerosene

If we spend $510 on diesel, we can calculate the cost of one liter of diesel as:
Cost of one liter of diesel = Amount spent on diesel / Number of liters of diesel = $510 / 3 = $170

Similarly, we can calculate the cost of one liter of kerosene as:
Cost of one liter of kerosene = Amount spent on kerosene / Number of liters of kerosene

Since we want to spend an equal amount on each liquid, the total amount spent on diesel and kerosene would be the same. Therefore, the amount spent on kerosene should also be $510.

Now, we can calculate the number of liters of kerosene that can be purchased using the cost of one liter of kerosene:

Number of liters of kerosene = Amount spent on kerosene / Cost of one liter of kerosene = $510 / (x) = ?

Since we don't have the value of x, we cannot determine the exact amount spent on kerosene without more information.