Pair os socks = s
Pair of gloves = g
Time per pair of socks = 3 hours
Time per pair of gloves = 7 hours
She spends 89 hours:
3s + 7 g = 89
A total of 15 pairs of socks and gloves
s+ g = 15
We have the system:
3s + 7 g = 89 (a)
s+ g = 15 (b)
Multiply (b) by 3 and subtract (b) to (a) in order to eliminate s.
3s + 7 g = 89
-
3s + 3 g = 45
___________
4g = 44
solve for g:
g= 44/4
g= 11
Replace g on any initial equation and solve for s:
s+g = 15
s + 11 = 15
s= 15-11
s= 4
a. 4 pairs of socks and 11 pairs of gloves
