Question

A farm yielded 1200 bags of wheat in 2006 . This was was a 20% decrease in yield from 2005. what was the decrease in the number of bags?

Answer 1

300 bags of wheat

Explanation:

We can get the answer by using algebraic expressions. If 1,200 bags means a 20% decrease in the yield from 2005, then it is 80% of the yield in 2005.

Let's solve.

Let x be the number of bags yield from 2005.

We can say: 1,200 is 80% of x

1,200 = 80% of x

1,200 = 0.80(x)

x =
`(1,200)/(0.80)`

x = 1,500

The number of bags yield from 2005 is 1,500.

Let's check.

Let x be the decrease in yield.

1,500 x 20% = x

1,500(0.20) = x

x = 300

The 20% decrease in yield is equal to 300 bags of wheat.

1,500 - 300 = 1,200 bags

The answer is correct.