in state A of country B, 28,000,000 acres are farmland. about 6% of all farm acreage in country B is in state A. what is the total number of acres of farmland i

Question

i really need help on this word problems are difficult to me. help me please.

Answer 1

you are given two pieces of information about the farmland in state A.

 

1) the farmland in state A is 6% of all the farmland in the country

2) there are 28,000,000 acres of farmland in state A

 

Because both statements refer to the same thing, they must be equal.

 

Therefore if we call X the total farmland in the country, then 6% of X is the farmland in state A, which we also know is 28,000,000 acres.

 

From this we get our equation.

 

.06X = 28,000,000

 

divide both sides by .06

 

x = 4.6 x 10⁸ acres

,

 

Answer 2

Good afternoon. Basically this question is asking if 6% of the farmland is 28,000,000 acres, what is the total farmland area.

 

The equation would be something like this: 0.06(x)=28,000,000 where x is the total number of acres of farmland.

 

If you divide both sides of the equation by 0.06, you get:

 

0.06(x)/0.06 = 28,000,000/0.06  or

 

x= 28,000,000/0.06

 

Dividing the 2 numbers gives you a value (x) of 466,666,667 acres

 

To quick check, 6% is a little more than half of 10%, so 10% of 466,666,667 is 46,666,667 and half of that would be 23,333,334. 28 million is a little more than that, so you have a reasonable answer.

 

Hope this helps

 

Michael W