This problem can be solved using a system of linear equations. Let's denote the cost of a basic package as B and the cost of a deluxe package as D.

From the information given, we can form the following two equations:

1) 87B + 91D = $12,156 (This is from the Hillsdale Elementary School order)

2) 94B + 93D = $12,703 (This is from the Kensington High School order)

Now we can solve this system of equations. There are several methods to do this, but one common method is substitution or elimination. Here, we will use the elimination method.

First, multiply the first equation by 94 and the second equation by 87:

1) 8178B + 8554D = $1,142,664

2) 8178B + 8081D = $1,105,161

Now, subtract the second equation from the first:

473D = $37,503

Finally, divide by 473 to solve for D:

D = $37,503 / 473 = $79.31

Now that we have the cost of the deluxe package, we can substitute D = $79.31 into the first equation to solve for B:

87B + 91($79.31) = $12,156

87B + $7217.21 = $12,156

87B = $4938.79

B = $4938.79 / 87 = $56.77

So, the basic package costs $56.77 and the deluxe package costs $79.31.

Question

This problem can be solved using a system of linear equations. Let's denote the cost of a basic package as B and the cost of a deluxe package as D.

From the information given, we can form the following two equations:

1) 87B + 91D = $12,156 (This is from the Hillsdale Elementary School order)

2) 94B + 93D = $12,703 (This is from the Kensington High School order)

Now we can solve this system of equations. There are several methods to do this, but one common method is substitution or elimination. Here, we will use the elimination method.

First, multiply the first equation by 94 and the second equation by 87:

1) 8178B + 8554D = $1,142,664

2) 8178B + 8081D = $1,105,161

Now, subtract the second equation from the first:

473D = $37,503

Finally, divide by 473 to solve for D:

D = $37,503 / 473 = $79.31

Now that we have the cost of the deluxe package, we can substitute D = $79.31 into the first equation to solve for B:

87B + 91($79.31) = $12,156

87B + $7217.21 = $12,156

87B = $4938.79

B = $4938.79 / 87 = $56.77

So, the basic package costs $56.77 and the deluxe package costs $79.31.

Knowee AI · Accepted Answer