Final answer:
The pro shop at Hidden Oaks Country Club ordered 25 dozens of each brand of golf balls, with the cost of Lightning balls being $2.10 each and Par one balls at $0.90 each, and a total cost difference of $360.
Step-by-step explanation:
The question deals with finding the number of dozens of golf balls ordered based on the given costs for each brand of golf balls and the total cost difference.
To begin solving the problem, let's denote the number of golf balls ordered for each brand as 'x'. The cost of Lightning balls is $2.10 each, and the cost of Par one balls is $0.90 each. We're given that the total cost for Lightning balls exceeds that of Par one balls by $360.
The equations we can derive from the information given are as follows:
- Cost of Lightning balls: $2.10 × x
- Cost of Par one balls: $0.90 × x
- Difference in cost: ($2.10 × x) \u2212 ($0.90 × x) = $360
Combining these, we get:
$2.10x - $0.90x = $360
$1.20x = $360
x = $360 / $1.20
x = 300
Since x represents the total number of balls, we need to convert this into dozens (where 1 dozen equals 12 balls). Thus:
300 balls ÷ 12 balls/dozen = 25 dozens
Therefore, the pro shop ordered 25 dozens of each brand of golf balls.