Question

What is the solution set to, "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.", and write an inequality. Answer quick please this is for Khan Academy.

Answer 1

Katie will collect more than 100 seashells in 5 and a half days.

Explanation:

Katie already has 34 seashells in her collection.

Each day, she finds 12 more seashells on the beach.

Let x be the number of days Katie is collecting seashells.

In x days, she will collect 12x seashells.

In total, she will collect
`34+12x` seashells.

Katie wants to collect over 100 seashells, so

`34+12x> 100`

Solve this inequality. Subtract 34:

`34+12x-34>100-34\\ \\12x>66\\ \\2x>11\\ \\x>5 (1)/(2)`

Katie will collect more than 100 seashells in 5 and a half days.