Susie bought 5 kg of flour and 4 kg of sugar for $14.80.If 3/4kg of flour cost as much as 3/5kg of sugar,find the cost of 1kg of sugar.

Well, it seems like Susie has quite the sweet tooth! Now, let's break this down. We know that 5 kg of flour and 4 kg of sugar cost a total of $14.80.

Let's also assume that the cost of 1 kg of flour is F dollars, and the cost of 1 kg of sugar is S dollars.

According to the information provided, 3/4 kg of flour cost as much as 3/5 kg of sugar. Now, we can set up a proportion to find the relationship between the cost of flour and sugar:

(3/4F) / 1 = (3/5S) / 1

Cross-multiplying, we get:

(3/4)F = (3/5)S

Now, to solve for the cost of 1 kg of sugar, we can simplify this equation:

15F = 12S

Divide both sides of the equation by 12:

F = (4/5)S

Since we're looking for the cost of 1 kg of sugar, let's substitute S into the equation:

F = (4/5) * S

Now, we know that the total cost of 5 kg of flour and 4 kg of sugar is $14.80. So, we can write another equation:

5F + 4S = 14.80

Now, let's substitute F from the previous equation into this one:

5 * (4/5)S + 4S = 14.80

Simplifying, we get:

4S + 4S = 14.80

8S = 14.80

Divide both sides by 8:

S ≈ 1.85

So, the cost of 1 kg of sugar is approximately $1.85. You better make sure Susie doesn't get a sugar rush from spending too much on her sweet treats!

Let's assume that the cost of 1 kg of flour is f dollars and the cost of 1 kg of sugar is s dollars.

According to the given information, Susie bought 5 kg of flour and 4 kg of sugar for $14.80, so we can write the following equation:

5f + 4s = 14.80 (Equation 1)

We are also given that 3/4 kg of flour costs as much as 3/5 kg of sugar.

So, we can write the following equation based on the given information:

(3/4)f = (3/5)s (Equation 2)

Now we can solve these two equations simultaneously to find the values of f and s.

Multiply Equation 2 by 4/3 to make the fractions cancel out:

(4/3)(3/4)f = (4/3)(3/5)s

f = (4/5)s

Now substitute this value of f into Equation 1:

5(4/5)s + 4s = 14.80

4s + 4s = 14.80

8s = 14.80

Divide both sides by 8 to solve for s:

s = 14.80/8

s = $1.85

Therefore, the cost of 1 kg of sugar is $1.85.

To calculate the cost of 1kg of sugar, we need to first calculate the cost of 1kg of flour and the ratio between the cost of 1kg of flour and 1kg of sugar.

Let's start by finding the cost of 1kg of flour:
Since Susie bought 5kg of flour for $14.80, we can set up the following equation:
5kg of flour = $14.80
Dividing both sides of the equation by 5 to find the cost of 1kg of flour:
1kg of flour = $14.80 / 5 = $2.96

Now we need to find the ratio between the cost of 1kg of flour and 1kg of sugar.
We are given that 3/4kg of flour costs the same as 3/5kg of sugar. We can set up the following equation:
(3/4)kg of flour = (3/5)kg of sugar

To find the cost of 1kg of sugar, we need to calculate the ratio of the cost of 1kg of sugar to the cost of 1kg of flour:
1kg of sugar = (1kg of sugar) / (1kg of flour) * (cost of 1kg of flour)

Substituting the given values into the equation:
1kg of sugar = (3/5) / (3/4) * $2.96

Simplifying the above equation:
1kg of sugar = (3/5) * (4/3) * $2.96
1kg of sugar = $4.76

Therefore, the cost of 1kg of sugar is $4.76.

5f+4s = 14.80

(3/4)f = (3/5)s

s = 1.85