Question

Write and solve an equation to find the price of a ton of wheat, given that a fighter plane cost 166,000 times as much as a ton of wheat & that the gov. bought 10 fighter planes & 15,000 tons of wheat for a total cost of $344 million. Show work

Answer 1

$205.37313

Explanation:

To find the price of a ton of wheat we first need to write an expression that can show the problem.

Let x = price of wheat

Let 166,000x = price of fight planes

15,000x + 10(166,000x) = 344,000,000

15,000x + 1,660,000x = 344,000,000

1,675,000x = 344,000,000

Now we divide both sides by 1,675,000 to get the value of x.

`(1,675,000x)/(1,675,000)=(344,000,000)/(1,675,000)`

x = 205.37313

Now to check if our value is right, let's substitute the value of x in the equation.

15,000(205.37313) + 10(166,000(205.37313)) = 344,000,000

15,000(205.37313) + 10(34,091,939.58) = 344,000,000

3,080,596.95 + 340,919,395.8 ≈ 343,999992.75

So one ton of wheat costs roughly $205.37313