A dress cost twice as much as a skirt. Mrs. Mason bought 3 dresses and 2 skirts. She gave the cashier $1000 and received $300 in change. How much did a dress cost?

Question

A dress cost twice as much as a skirt. Mrs. Mason bought 3 dresses and 2 skirts. She gave the cashier $1000 and received $300 in change. How much did a dress cost?

Answer 1

Let's assume that the cost of a skirt is represented by 'S' dollars.

Given that a dress costs twice as much as a skirt, the cost of a dress would be '2S' dollars.

Mrs. Mason bought 3 dresses and 2 skirts, so the total cost of the dresses is 3 times the cost of a dress, which is 3 * (2S) = 6S dollars.
She also bought 2 skirts, so the total cost of the skirts is 2 times the cost of a skirt, which is 2 * S = 2S dollars.

Therefore, the total cost of the dresses and skirts is 6S + 2S = 8S dollars.

Mrs. Mason gave the cashier $1000 and received $300 in change, so the total cost of all the items would be $1000 - $300 = $700.

Since the total cost of the dresses and skirts is $700 and we know that the total cost is 8S dollars, we can set up the equation:
8S = 700

Now we can solve for S by dividing both sides of the equation by 8:
S = 700 / 8 = 87.5

So the cost of a skirt is $87.5.

Since the cost of a dress is twice the cost of a skirt, the cost of a dress would be 2 * $87.5 = $175.

Therefore, a dress costs $175.

Answer 2

To find out how much a dress costs, we need to set up equations based on the given information and solve them step by step.

Let's assume the cost of a skirt is 'x' dollars.
According to the given information, a dress costs twice as much as a skirt, so the cost of a dress would be '2x' dollars.

Mrs. Mason bought 3 dresses and 2 skirts, so the total cost of 3 dresses would be 3 * 2x = 6x dollars.
Similarly, the total cost of 2 skirts would be 2 * x = 2x dollars.

The total cost of the dresses and skirts should be equal to the amount Mrs. Mason paid, which is $1000. We can write this as an equation:

6x + 2x = 1000

Simplifying the equation, we get:
8x = 1000

To isolate x, the cost of a skirt, we divide both sides of the equation by 8:

x = 1000 / 8 = 125

So, the cost of a skirt is $125.

Now, to find the cost of a dress (which is twice the cost of a skirt), we can substitute the value of x back into one of the equations:

Cost of a dress = 2x = 2 * 125 = $250

Therefore, the cost of a dress is $250.

Answer 3

dress = 2s

1000 - [2s + 3(2s)] = 300

1000 - 8s = 300

700 = 8s

87.50 = s