Question

One subscription costs $15 a month and $100 start up fee. Another subscription costs $20 a month and $50 start up fee. Make a system of equations and solve for x, the amount of people for them to be the same.

Answer 1

To solve the problem, set up a system of equations using the given information and find the value of x when the costs are equal.

Step-by-step explanation:

To solve this problem, we need to set up a system of equations using the given information and then solve for the variable x. Let's define:

y1 = 15x + 100

y2 = 20x + 50

Where y1 represents the cost for the first subscription, y2 represents the cost for the second subscription, and x represents the number of people.

We want to find the value of x for which y1 = y2. So we can set up the equation:

15x + 100 = 20x + 50

Simplifying the equation, we get:

5x = 50

Dividing both sides by 5, we find:

x = 10

Therefore, for 10 people, the costs for both subscriptions will be the same.