A cable network offers members a Basic plan for $7.31 per month. For $3.00 more per month, the cable network offers a Standard plan, which includes HD movies. During one week, 280 new subscribers paid a total of $2286.80 for their plans. How many Basic plans and how many Standard plans were purchased?

number of member of basis plan is 200

and number of member of standard plan is 80

Step-by-step explanation:

given data

Basic plan = $7.31 per month

Standard plan = $3.00 more per month i. e = $10.31 per month

new subscribers = 280

total paid = $2286.80

to find out

How many Basic plans and how many Standard plans were purchased

solution

we consider here number of member of basis plan is = x

so number of member of standard plan will be = 280 - x

so we can say total pay is here as

x * $7.31 + (280 - x) * $10.31 = $2286.80

7.31 x + 2886.8 - 10.31 x = 2286.80

solve we get

x = 200

so number of member of basis plan is = 200

so number of member of standard plan will be = 280 - 200 = 80