Acabinet shop produces two types of custom made cabinets .if the price of one type of cabinet is four times the price of the other and the total price for one of each type of cabinet is 4,150 what is the price of each cabinet

Let price of first cabinet be a

We know that the price of one type of cabinet is four times the price of the other

⇒ Price of other cabinet = 4a

Total price of one cabinet each of the 2 types = 4,150

⇒ Total price of one cabinet each of the 2 types = Price of first cabinet + Price of other cabinet

⇒ 4,150 = a + 4a

⇒ 4,150 = 5a

⇒ a = 830

So the first cabinet costs 830, and the other cabinet costs 4×830 = 3,320