Lucy has 4 more than 1/3 the number of pairs of socks as her sister. Lucy has at most 9 pairs of socks. How many pairs of socks does her sis Question Lucy has 4 more than 1/3 the number of pairs of socks as her sister. Lucy has at most 9 pairs of socks. How many pairs of socks does her sister have? in progress 0 Math Alexandra 1 month 2021-09-14T10:06:35+00:00 2021-09-14T10:06:35+00:00 1 Answer 0

## Answers ( )

Answer:at most 15 pairs of socksStep-by-step explanation:Let the number of pair of socks of her sister be , and let the number of pairs Lucy has be .

Since , Lucy has 4 more than 1/3 the number of pairs of socks as her sister, this means that

………………………… equation 1

Also , Lucy has at most 9 pairs of socks , this means that

………………………………… equation 2

Equating the two equations , we have

multiply through by 3

subtract 12 from both sides

Therefore , the sister has at most 15 pairs of socks