Q:

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?

Accepted Solution

A:
Answer:number of member of basis plan is  200and number of member of standard plan is 80 Step-by-step explanation:given data Basic plan  = ​$7.31 per monthStandard​ plan = $3.00 more per​ month i.e = $10.31 per monthnew subscribers = 280total paid = $2286.80to find out How many Basic plans and how many Standard plans were​ purchasedsolutionwe consider here number of member of basis plan is = x so  number of member of standard plan will be = 280 - xso we can say total pay is here as x × $7.31 +  (280 -x ) × $10.31  = $2286.807.31 x + 2886.8 - 10.31 x = 2286.80solve we get x = 200 so number of member of basis plan is =  200so  number of member of standard plan will be = 280 - 200 = 80