Question

Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on the beach. Katie can use fractions of days to find seashells. Write an inequality to determine the number of days, d, it will take Katie to collect over 100 seashells.

Answer 1

34+12x=100 12x=66 x=66/12=11/2 answer:11/2

Explanation:

Answer 2

`12n+34>100`

Explanation:

Let d be the number of days.

We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.

We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be:
`12n+34`

As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100.