Two watermelons and three honeydews cost $48. The cost of each
honeydew is twice as much as each watermelon. What is the cost of a
watermelon?
2 w + 3 h = 48
h = 2 w
================
2 w + 3 (2 w) = 48
8 w = 48
w = 48/8
around $6
Let's assign variables to represent the cost of a watermelon and a honeydew. Let's say the cost of a watermelon is x dollars.
According to the information given, the cost of each honeydew is twice as much as each watermelon. Therefore, the cost of a honeydew would be 2x dollars.
We are also told that two watermelons and three honeydews together cost $48. Using this information, we can set up an equation:
2(x) + 3(2x) = 48
Simplifying the equation:
2x + 6x = 48
8x = 48
x = 48 / 8
x = 6
Therefore, the cost of a watermelon is $6.
To find the cost of a watermelon, let's first assign variables to the unknowns in the problem.
Let's say the cost of a watermelon is x dollars.
Since the cost of each honeydew is twice as much as each watermelon, the cost of a honeydew would be 2x dollars.
Now, let's use the information given in the problem to set up an equation.
We are told that two watermelons and three honeydews cost $48.
The cost of two watermelons would be 2x dollars, and the cost of three honeydews would be 3(2x) dollars.
So, the equation becomes:
2x + 3(2x) = 48
Now, let's solve this equation to find the value of x, which represents the cost of a watermelon.
2x + 6x = 48 (Multiplying 3 by 2x)
8x = 48 (Combining like terms)
x = 48/8 = 6 (Dividing both sides by 8)
So, the cost of a watermelon is $6.