Question

Suppose a certain company sells regular keyboards for $82 and wireless keyboards for $115. Last week the store sold three times as many regular keyboards as wireless. If total keyboard sales were $5,415, how many of each type were sold?how many regular keyboards?how many wireless keyboards?

Answer 1

Given:

A set 3 regular and 1 wireless keyboard,

Regular keyboards = $ 82

Wireless keyboards = $ 115

Total keyboards sales = $ 5415

Find-:

(a) how many regular keyboards?

(b) how many wireless keyboards?

Explanation-:

A set of 3 regular and 1 wireless keyboard would sell for:

`\begin{gathered} =3*82+115 \\ \\ =246+115 \\ \\ =361 \end{gathered}`

For, the given sales, the number of sets sold:

Total keyboard sales = $5415

`\begin{gathered} =(5415)/(361) \\ \\ =15 \end{gathered}`

Since there are 3 regular keyboards in each set,

The regular keyboard is:

`\begin{gathered} =3*15 \\ \\ =45\text{ Regular Keyboards} \end{gathered}`

The regular keyboard is 45.

Wireless keyboard is 15.