ABC phone company charges $18 per month plus 7 cents per minute of phone calls. XYZ phone company charges $9 per month and 10 cents per minute of phone calls. How many minutes of phone calls should be made each month to make the costs for the two companies the same?

Question

ABC phone company charges $18 per month plus 7 cents per minute of phone calls. XYZ phone company charges $9 per month and 10 cents per minute of phone calls. How many minutes of phone calls should be made each month to make the costs for the two companies the same?

Answer 1

ABC = 0.07m + 18

XYZ = 0.10m + 9

you want ABC = XYZ, so

.07m + 18 = .1m + 9
7m + 1800 = 10m + 900
-3m = -900
m = 300

So at 300 minutes the charge would be the same from each company

Answer 2

To find out the number of minutes of phone calls to make the costs the same for both companies, we need to set up an equation based on the given information.

Let's assume the number of minutes of phone calls made in a month is 'x'.

For ABC phone company, the cost of phone calls in a month would be 7 cents multiplied by 'x'.

So, the cost for ABC phone company in a month would be $18 + 0.07x.

For XYZ phone company, the cost of phone calls in a month would be 10 cents multiplied by 'x'.

So, the cost for XYZ phone company in a month would be $9 + 0.10x.

To make the costs the same, we can set up the equation:

$18 + 0.07x = $9 + 0.10x

Now, let's solve for 'x' to find the number of minutes of phone calls:

$18 - $9 = 0.10x - 0.07x

$9 = 0.03x

Dividing both sides by 0.03:

$9 / 0.03 = x

300 = x

Therefore, to make the costs the same for both companies, you would need to make 300 minutes of phone calls each month.

Answer 3

To find out how many minutes of phone calls should be made each month to make the costs for the two companies the same, we can set up an equation.

Let's represent the number of minutes of phone calls as "m".

For ABC phone company:
Cost = $18 (monthly charge) + $0.07 (per minute charge) * m (number of minutes)
Cost = $18 + $0.07m

For XYZ phone company:
Cost = $9 (monthly charge) + $0.10 (per minute charge) * m (number of minutes)
Cost = $9 + $0.10m

Now, we can set these two costs equal to each other and solve for "m":
$18 + $0.07m = $9 + $0.10m

Simplifying the equation, we get:
$0.07m - $0.10m = $9 - $18
-$0.03m = -$9

Dividing both sides of the equation by -$0.03, we get:
m = -$9 / -$0.03

Simplifying the expression, we get:
m = 300

Therefore, 300 minutes of phone calls should be made each month to make the costs for ABC and XYZ phone companies the same.