Sheng owns the company Sandy Shores, which packages bottles of sand in two different-sized bottles, small and large. Although the label on each small bottle

states that the bottle contains 25 ounces of sand, the company allows a tolerance

of 0.5 ounces for the amount of sand in each small bottle. In manufacturing,

tolerance is the amount of error that is allowed when packaging a product.

1. What is the maximum amount of sand, in ounces, that the company allows in

each small bottle? Show or explain how you got your answer.

The maximum amount of sand in ounces that the company allows for each bottle is 25.5 ounces.

Step-by-step explanation:

The amount of sand that the company Sandy stores allows in each small bottle is determined by the amount of sand required for the bottle size plus the error in the amount of sand for the bottle size.

Now since each small bottle contains 25 ounces of sand and the error in the amount of sand contained in the bottle is 0.5 ounces, the amount of sand contained in the bottle = required amount ± error.

For the minimum amount, we subtract the error and for the maximum amount, we add the error.

Since the maximum amount is required, we have,

Maximum amount = required amount + error

required amount = 25 ounces and error = 0.5 ounces. So,  Maximum amount = 25 ounces + 0.5 ounces = 25.5 ounces.

So, the maximum amount of sand in ounces that the company allows for each bottle is 25.5 ounces.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.