At Rosa's Rose Shop, a bouquet containing a dozen roses costs $20. If the price of a bouquet is directly proportional to the number of roses it contains, how many dollars will a bouquet of 39 roses cost?
x/39 = 20/12
To find out how many dollars a bouquet of 39 roses will cost, we can set up a proportion using the given information.
Let "x" be the cost of a bouquet of 39 roses.
We know that the price of a bouquet is directly proportional to the number of roses it contains. Since a bouquet of 12 roses costs $20, we can write the proportion as:
12/20 = 39/x
To solve for "x", we can cross multiply:
12 * x = 20 * 39
12x = 780
Now, let's isolate "x" by dividing both sides by 12:
x = 780 / 12
x ≈ 65
Therefore, a bouquet of 39 roses will cost approximately $65.
To find out how many dollars a bouquet of 39 roses will cost, we need to determine the constant of proportionality that relates the number of roses to the price.
Given that a bouquet containing a dozen roses costs $20, we can set up a proportion to find the constant of proportionality:
(12 roses/$20) = (39 roses/x)
By cross-multiplying, we get:
12x = 39 * $20
Simplifying the equation, we have:
12x = $780
Dividing both sides by 12, we find:
x = $780/12
Evaluating the expression, we get:
x ≈ $65
Therefore, a bouquet of 39 roses will cost approximately $65.