A horse and a cart together cost 1600.if the cost of the cart is one third the cost of the horse.find the cost of cart and horse sepretely

3 answers

c = cart

h = horse

A horse and a cart together cost 1600 mean:

h + c = 1600

The cost of the cart is one third the cost of the horse mean:

c = h / 3

h + c = 1600

h + h / 3 = 1600

3 h / 3 + h / 3 = 1600

4 h / 3 = 1600

Multiply both sides by 3

4 h = 3 ∙ 1600

4 h = 4800

Divide both sides by 4

h = 4800 / 4

h = 1200

c = h / 3 = 1200 / 3 = 400

The cost of a horse 1200

The cost of a cart 400
3c = h
c+h = 1600

now just find c and h.
Your solution is very long may you try to do short in this time please