Question

The pro shop at the Hidden Oaks Country Club ordered two brands of golf balls. Swinger balls cost$2.10 each and the Supra balls cost $1.00 each. The total cost of Swinger balls exceeded the total costof the Supra balls by $330.00. If an equal number of each brand was ordered, how many dozens ofeach brand were ordered?AnswerHow to enter your answer (opens in new window)KeypadKeyboard Shortcutdozen

Answer 1

The Solution:

Given that equal number of each brand of golf ball was ordered.

Let the number of each brand ordered be represented with n

Each swinger ball cost $2.10

So, the total cost of the swinger ball ordered is:

`2.10n`

Each Supra ball cost $1.00

So, the total cost of the supra ball ordered is:

`\begin{gathered} 1.00* n \\ \text{which becomes}\colon \\ n \end{gathered}`

Given that the total cost of the Swinger balls exceeded the total cost of the Supra balls by $330.00. We have the linear equation below:

`2.1n=n+330`

We are required to find the number of dozens of each brand of golf balls that were ordered.

So, we shall solve for n and then divide the value by 12.

`\begin{gathered} 2.1n=n+330 \\ \text{collecting the like terms, we get} \\ 2.1n-n=330 \\ 1.1n=330 \end{gathered}`

Dividing both sides by 1.1, we get

`\begin{gathered} (1.1n)/(1.1)=(330)/(1.1) \\ \\ n=300\text{ balls} \end{gathered}`

Dividing 300 by 12 (since 1 dozen = 12 balls), we get

`(300)/(12)=25\text{ dozens of each brand of golf balls were ordered.}`

Therefore, the correct answer is 25 dozens.