Answer: the maximum number of socks she will be able to make from the leftover yarn is 10
Step-by-step explanation:
Let x represent the number of sweaters.
Let y represent the number of socks.
The baby sweaters take 10 feet of yarn and the baby socks take 5 feet of yarn. This means that the total number of feet of yarn needed to make x sweaters and y socks is expressed as
10x + 5y
She has 100 feet of yarn and wants to make 5 sweaters. This means that
10 × 5 + 5y = 100
50 + 5y = 100
5y = 100 - 50 = 50
y = 50/5
y = 10