Question

Dirty boys composting has a total of 215 customers. Some are considered starters ( meaning they are new to composing) and the rest are considered already composting those new to composting pay 160 and those already composting pay 105. If dirty boys made 26975 in revenue from those customers how many customers of each type did they have

Answer 1

Let, number of customers of starters and rest are x and y respectively.

So, x + y = 215 ....1)

Cost of per starter is $160 and cost of rest is $105.

Total earning of Dirty boys $26975 i.e 160x + 105y = 26975 ....2)

Solving equation 1 and 2 :

160( 215-y ) + 105y = 26975

34400 - 160y + 105y = 26975

55y = 34400 - 26975

y = 135 .

x = 215 - 135 = 80 .

Therefore, number customers of starters and rest are 80 and 135 respectively.

Hence, this is the required solution.