Question

You are considering ordering shampoo. Company A charges $6 per bottle and a $10 handling fee. Company B charges $4 per bottle and a $28 handling fee. Find the number of bottles for which Coifpany B will be a better deal.

Answer 1

To find the number of bottles for which Company B is a better deal, we compare the total costs from Company A and Company B. Inequality is used to find when the cost from Company B is less than the cost from Company A.

Step-by-step explanation:

To determine the number of bottles for which Company B will be a better deal, we need to compare the total cost of purchasing from Company A and Company B.

Let's assume the number of bottles is represented by 'x'.

The total cost from Company A is given by: (6x) + 10.

The total cost from Company B is given by: (4x) + 28.

We need to find the value of 'x' for which the total cost from Company B is less than the total cost from Company A.

So, (4x) + 28 < (6x) + 10.

Simplifying the inequality, we have 2x > 18.

Dividing both sides of the inequality by 2, we get x > 9.

Therefore, if the number of bottles is greater than 9, Company B will be a better deal.