I need algebra help

Question

PC Solutions sells regular keyboards for $87 and wireless keyboards for $103. Last week the store sold four times as many regular keyboards as wireless. If total keyboard sales were $7,216, how many of each type were sold?

Answer 1

Answer:

Regular keyboard: 64

Wireless keyboard : 16

Explanation:

x: Number of wireless keyboards sold

87(4x) + 103x = 7216

348x+ 103x = 7216

451x = 7216

x= 16

Answer 2

If we let r represent the number of regular keyboards and w represent the number of wireless keyboards, we can use the cost of each and write this equation:

87r + 103w = $7216

Also, since we know that the number of regular keyboards sold is 4 times that of wireless , we can substitute 4w for r.

Our equation would become: 87 (4w) + 103w = 7216

To solve, multiply 87 by 4:

348w + 103w = 7216

Combine like terms:

451w = 7216

Then divide both sides of the equation by 451 to find w (or the number of wireless keyboards sold):

451w/451 = 7216/451

w = 16 wireless keyboards

r= 4 times that or 64 keyboards