In this problem, we need to first determine how many seats have been sold. In order to do so, we need to divide the total amount of money received for the seats, $860, by the cost of each individual seat, $20. $860 divided by $20 equals 43.

Now we know that the concert hall has sold 43 seats. However, we are not done yet. We need to subtract 43 from the original number of available seats, 100, in order to find the amount of remaining seats. 100 minus 43 is 57, so there are 57 seats left to be sold.

To find Lacy's profit, we need to first determine how much money she made from simply selling her coffee. We know she sold 230 cups of coffee that cost $2 each, so we will multiply 230 by $2, which equals $460.

Now we need to subtract the amount she paid for the coffee beans originally, which was $100. $460 minus $100 equals $360.

This is Lacy's profit. 

First we will determine how much money Jerry earned from selling hot dogs at the festival. To do this, we will multiply the number of hot dogs sold (300) by the cost of each hot dog ($4). This comes to a total of $1200 earned.

Now we need to subtract the $500 vendor fee from the total earned, bringing Jerry's profit to $700.

To begin solving this problem, we will first determine how much money Carly spent playing games at the arcade. Since she played 25 games at $0.50 each, we will multiply 25 by $0.50, which equals $12.50.

Then Carly had to pay her friend Blake $5 that she owed him, so we will add $5 to the $12.50 she already spent, which equals $17.50.

The last step is to subtract our total amount spent, $17.50 from her starting amount, $20. When we do this, we find that Carly had $2.50 remaining at the end of the day. 

Samantha initially spends $50 on a haircut, and then an additional $12 on each service. Aside from the haircut, Samantha gets highlights, a shampoo and styling, which makes 3 services. We now will multiply the cost of each service ($12) by the number of services (3).

This equals $36, which we will add to the initial fee for the hair cut, $50. $36 plus $50 equals $86, the total cost of Samantha's hair cut and services.

First, we will multiply the cost of each dish ($6) with the number of dishes purchased (9).

Then we will add on the cost of the tip for the waiter, $30, which brings the total that Pete and his friends spent at the restaurant to $84.

To begin this problem, we need to isolate how much money Ike has to spend on toppings. In order to do this, we will first subtract the initial cost of the sundae ($3.50) from the amount of money that Ike has ($7.00).

Now, we need to see how many $0.50 toppings Ike can afford with $3.50. To do this, we will divide $3.50 by $0.50, which equals 7.

Therefore, Ike can afford to purchase 7 toppings for his sundae. 

We can write a linear equation from the information given in the question:

Since Sarah has 15 problems, she has 3 sets of 5 problems.

Substituting that information gives the following equation:

Now, the question asks at what time Sarah will finish her algebra problems.

Now, add that to 3 pm.

Let  equal the number of hours it takes Daisy to plant strawberry plants.

Given that she can plant 10 strawberry plants in an hour, Daisy can plant  strawberry plants in an hour.

If she wants to plant 70 strawberry plants, then she will plant  strawberry plants.

Dividing both sides by 10, we find that Daisy will take  to plan 70 strawberry plants. 

Let  represent the number of hours each jogger runs. We know that the first jogger is running at a rate of 4 miles per hour; since , we therefore know that the first jogger runs a distance of .

By the same logic, we know that the second jogger runs a distance of . 

Since we are looking for the point at which the joggers meet up after running from opposite directions, we know that together they will have covered a total of 10 miles. Therefore:

Simplifying the equation: