Question

A moving helper company gave Mike these two quotes. Use a system of equations to

determine the hourly rates for loading/unloading and packing/unpacking.

4 hours of

loading/unloading

7 hours of

loading/unloading

Answer 1

To determine the hourly rates for loading/unloading and packing/unpacking in a moving helper company, a system of equations can be set up based on the given information. However, without additional information, it is not possible to determine the exact values of the hourly rates.

Step-by-step explanation:

To determine the hourly rates for loading/unloading and packing/unpacking, we can set up a system of equations based on the given information. Let's use the variables 'L' for the hourly rate for loading/unloading and 'P' for the hourly rate for packing/unpacking.

From the first quote, we know that the cost for 4 hours of loading/unloading is equal to 4 times the hourly rate for loading/unloading, which is 4L. From the second quote, we know that the cost for 7 hours of loading/unloading is equal to 7 times the hourly rate for loading/unloading, which is 7L. Therefore, we can set up the following system of equations:

4L = cost for 4 hours of loading/unloading

7L = cost for 7 hours of loading/unloading

Since we want to find the values of L and P, we need one more equation. Without that additional information, it is not possible to determine the exact values of L and P.

Answer 2

The hourly rates of loading/unloading = $100

The hourly rates of packing/unpacking = $90

Step-by-step explanation:

Here, the given table is MISSING.

The correct table for reference is attached.

Now, let us assume the hourly rates of loading/unloading = $ m

Assume the hourly rates of packing/unpacking = $ n

As given in the table:

3 hours of loading/unloading + 2 hours of packing/unpacking costs = $480

⇒ 3 m + 2 n = 480

⇒ 2 n = 480 - 3 m .... (1)

5 hours of loading/unloading + 2 hours of packing/unpacking costs = $680

⇒ 5 m + 2 n = 680

⇒ 2 n = 680 - 5 m .... (2)

Now, solving for the values of m and n, we get:

480 - 3 m = 680 - 5 m

⇒ 5 m - 3 m = 680 - 480

⇒ 2 m = 200

or, m = 100

Now, 2 n = 680 - 5 m = 680 - 5 (100) = 180

⇒ n = 90

Hence, the hourly rates of loading/unloading = $ m = $100

The hourly rates of packing/unpacking = $ n = $90