I will give the brainiest Tim has 74 socks, all in pairs. He has 1 more pair of white socks than black socks. How many
individual socks of each color does he have?

black socks

white socks

Answers:

36 individual black socks

38 individual white socks

Check: 36+38 = 74 total individual socks

Work Shown:

b = number of pairs of black socks

w = number of pairs of white socks

w = b+1 since he has 1 more pair of white socks compared to black socks

2b = number of individual black socks

2w = number of individual white socks

2b+2w = total number of individual socks

2b+2w = 74

2b+2(b+1) = 74 plug in w = b+1

2b+2b+2 = 74 ... distribute

4b+2 = 74

4b = 74-2 subtracting 2 from both sides

4b = 72

b = 72/4 ... dividing both sides by 4

b = 18 is the number of pairs of black socks he has

2b = 2*18 = 36 is the number of individual black socks he has

w = b+1 = 18+1 = 19 is the number of pairs of white socks he has

2w = 2*19 = 38 is the number of individual white socks he has

2b+2w = 36+38 = 74 individual socks overall

146%

step-by-step explanation: