At a bargain store, Spongebob bought 3 items that each cost the same amount. Patrick bought 5 items that each cost the same amount, but each was $1.50 less than the items that Spongebob bought. Both Spongebob and Patrick paid the same amount of money. What was the individual cost of each person's items? Write an equation. Let x represent the cost of one of Spongebob's items.

Solve the equation. Show your work.

Check your solution. Show your work.

State the solution in complete sentences.

Cost of each item bought by Spongebob

Cost of items bought by Spongebob =

Cost of each item bought by Patrick

Cost of items bought by Patrick =

Step-by-step explanation:

Let denotes cost of each item bought by Spongebob.

Number of items bought by Spongebob = 3

So,

Cost of items bought by Spongebob =

Cost of each item bought by Patrick =

Number of items bought by Patrick = 5

Cost of items bought by Patrick =

Both Spongebob and Patrick paid the same amount of money.

So,

So,

Cost of each item bought by Spongebob

Cost of items bought by Spongebob =

Cost of each item bought by Patrick

Cost of items bought by Patrick =