Final answer:
To calculate the equation representing the total cost of the services completed, let x = number of on-site services, y = number of at-store services, and z = number of by-mail services. The equation is then 3y(15) + y(40) + (y - 10)(S) = 260.
Step-by-step explanation:
Let's define the variables:
x = number of on-site services
y = number of at-store services
z = number of by-mail services
The cost of on-site service is 3 times the cost of at-store service, so the cost of on-site service is 3 times y: 3y
The cost of by-mail service is $10 less than the cost of at-store service: y - 10
Last week, the shop completed 15 on-site services, 40 at-store services, and S by-mail services for a total of $260:
3y(15) + y(40) + (y - 10)(S) = 260
This equation represents the total cost of the services completed last week.