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
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
Your solution is very long may you try to do short in this time please
To find the cost of the horse and the cart separately, let's denote the cost of the horse as 'h' and the cost of the cart as 'c'.
According to the given information, we know that the cost of the cart is one third the cost of the horse:
c = (1/3)h
We are also given that the combined cost of the horse and the cart is $1600:
h + c = 1600
Now, we can use these two equations to solve for the values of 'h' and 'c'.
Substituting the value of 'c' from the first equation into the second equation, we have:
h + (1/3)h = 1600
Combining like terms:
(4/3)h = 1600
Multiplying both sides by (3/4):
h = (3/4) * 1600
Simplifying the equation:
h = 1200
Now that we know the value of 'h', we can substitute it back into the first equation to find the value of 'c':
c = (1/3) * 1200
Simplifying the equation:
c = 400
Therefore, the cost of the horse is $1200 and the cost of the cart is $400.
3c = h
c+h = 1600
now just find c and h.