Did you know?
Did you know that you can solve the mystery of the pot's price by breaking down the information given? Let's analyze the facts:
We have two cups, two plates, and a pot, all worth a total of $10.20. They tell us that a cup costs twice as much as a plate, which means we can represent the price of a plate as "x" and the price of a cup as "2x".
Furthermore, they inform us that the pot costs $3 more than a cup. So, if a cup costs "2x", then the pot costs "2x + $3".
To find the price of the pot, we can set up an equation:
2(2x) + 2(x) + (2x + $3) = $10.20
Simplifying the equation, we get:
4x + 2x + 2x + $3 = $10.20
8x + $3 = $10.20
To solve for x, we subtract $3 from both sides:
8x = $7.20
Dividing both sides by 8, we find:
x = $0.90
Now that we know the price of a plate (x), we can substitute it back into the equation to find the price of the pot:
2x + $3 = 2($0.90) + $3 = $1.80 + $3 = $4.80
Therefore, the price of the pot is $4.80. By applying algebraic reasoning, we were able to solve this garage sale puzzle!