Question

A store has Houston Astros jerseys and hats in stock to sell. Each hat cost $17.50 and each jersey cost $62.50 which made the store a profit of $2300. The store has a total of 80 hats and jerseys in stock. How many hats does the store currently have in stock?

Answer 1

The store currently has 20 jerseys in stock.

Step-by-step explanation:

To find the number of hats the store currently has in stock, we need to set up a system of equations using the given information.

Let's define 'h' as the number of hats and 'j' as the number of jerseys in stock.

We know that the cost of each hat is $17.50 and the cost of each jersey is $62.50.

The profit made by the store is $2300. So, we can set up the following equation:

17.50h + 62.50j = 2300

We also know that the total number of hats and jerseys in stock is 80.

So, we have another equation:

h + j = 80

Now, we can use these two equations to solve for 'h'.

We can use substitution or elimination method to solve the system of equations.

Let's use the elimination method.

Multiply the second equation by 17.50 to make the coefficients of 'h' in both equations the same:

17.50h + 17.50j = 1400

Now, subtract this new equation from the first equation:

(17.50h + 62.50j) - (17.50h + 17.50j) = 2300 - 1400

This simplifies to:

45j = 900

Divide both sides of the equation by 45:

j = 20

So, the store currently has 20 jerseys in stock.