Question

A cow costs 7 times as a goat .For $840 l can buy 18 more goats than cows.How much does a goat cost.
Pliz explain step by step

Answer 1

Answer:

$ 40

Step-by-step explanation:

let the cost of a goat be $ X

=> the cost of a cow = $ 7X......(given)

=> number of goats for $840 = 840/X

=> number of cows for $840 = 840 /7X

according to the question,

(840 /X) - 18 = 840 / 7X

=> (840 - 18X) / X = 840 / 7X

=> ( 840 - 18X) = 840/7 = 120

=> 18X = 840-120 = 720

=>. X = 40

therefore the cost of a goat = $ 40

hope this helps you

Answer 2

Given :

• A cow costs 7 times as a goat .

• For $840 l can buy 18 more goats than cows.

To find :

• Cost of a goat =?

Step-by-step explanation :

Let the cost of goat be x.

Then, the cost of the cow be 7x.

We can buy goat with $840 = $840/x

We can buy cow with $840 = $840/7x

According to the question :

Our equation come out as,

840/x = 840/7x + 18

On simplifying, we get,

➮ 7 × 840 - 840 = 7 × 18x

➮ x = 6 × 840/7× 18

➮ x = 5040/126

➮ x = 40.

Therefore, $40 is the cost of a goat.