Final answer:
To find the number of miles a delivery must be for the charges to be the same, set up an equation. The delivery must be 40 miles for the charges to be the same with a price of $15.
Step-by-step explanation:
To find the number of miles a delivery must be for the charges to be the same, we need to set up an equation using the information given. Let's assume the number of miles is 'x'.
The total charge for Rosebud Flower Shop is $5 + $0.25x. The total charge for Beautiful Bouquets Flower Shop is $7 + $0.20x. We can set up the equation:
$5 + $0.25x = $7 + $0.20x
Simplifying the equation, we get:
$0.05x = $2
Dividing both sides by $0.05, we get:
x = 40
Therefore, the delivery must be 40 miles for the charges to be the same. The price of the delivery would be $5 + $0.25(40) = $5 + $10 = $15. The mileage of the delivery is 40 miles.