Question

Suppose a certain company sells regular keyboards for $83 and wireless keyboards for $115. Last week the store sold three times as many regular keyboards as wireless. If total keyboard sales were $5,824, how many of each types were sold?

Answer 1

Answer:

48 regular keyboards, 16 wireless keyboards

Step-by-step explanation:

To find the number of each type of keyboard sold, we need to form and solve 2 equations.

Define variables used:

Let the number of regular keyboards and wireless keyboards sold be r and w respectively.

Equation from total sales:

Sales from regular keyboards= $83r

Sales from wireless keyboards= $115w

Total sales= $(83r +115w)

83r +115w= 5824 -----(1)

Equation from number of keyboards sold:

r= 3w -----(2)

Let's solve the simultaneous equations by substitution!

Subst. (2) into (1):
83(3w) +115w= 5824

249w +115w= 5824

364w= 5824

Divide both sides by 364:

w= 16

Subst. into (2):

r= 3(16)

r= 48

Thus, 48 regular and 16 wireless keyboards are sold.

Supplementary:

Do check out the following for an example on solving equations by elimination: brainly.com/question/19575460