How do I solve this equation?

Question

Yo do four loads of laundry each week at a launderette where each load costs $1.25. You could buy a washing macine that costs $400. Washing four loads at home will cost about $1 per week for electricity. How many loads of laundry must you do in order for the costs to be equal?

Answer 1

Let
x = loads of laundry to break even buying a washing machine
c = cost

c = 1.25x = 400 + x/4
x = 400

It would take 400 loads of laundry to break even.

Answer 2

If you do the laundry at home, the cost is $1 per week. If you do it at a launderette, it costs $5. The difference is $4 per week, or $1 per load. It would take 400 loads to break-even.

But that's not counting the cost of water, driving to the launderette, repairs, etc. ...

Answer 3

Laundry cost = $5 / week
Electricity cost = $1 / week
Cost of m/c = $400
Let x = no.of weeks to break even.
5x = x + 400
4x = 400
x = 100
No. of weeks = 100
No. of loads = 400

Answer 4

1.25*N=400. 400*1.25=32. 32/1.25=2.56 2.56+32=34.56 (est 35).