Question

A farm had 480 acres more wheat than corn. After the farmers collected 80% of the wheat and 25% of the corn, the area of the wheat was 300 acres less than the area of the corn. What was the area of the wheat field and what was the area of the corn field?

Explain too PLZ.

Answer 1

wheat acres is 1200.Corn acres is 720.

Explanation:

A farm had 480 acres more wheat than corn.W represent wheat.C represents corn.So the equation for this part is:W=C+480.

After the farmers collected 80% of the wheat and 25% of the corn, the area of the wheat was 300 acres less than the area of the corn. So the equation is:W-w-0.8W+300=C-0.25C.which simplfies to:

0.2W+300=0.75C

we have 2 eqations with unknown variables.

W=C+480

0.2W+300=0.75C

we will use the substitution method by plugging in the first equation into the second equation.

0.2(C+480)+300=0.75C.

now solve for C.

0.2C+96+300=0.75C.

396=0.55C

C=720.

solve for W:

W=C+480

W=720+480

W=1200

Answer 2

A farm had 480 acres more wheat than corn. Let use "W" to represent the Wheat and let use "C" to represent the corn. Hence, we have below:
W=C+480

The farmers collected 80% of the wheat and 25% of the corn and the area of the wheat is 300 acres less than the area of the corn:
W-0.8W=C-0.25C+300
0.2W=0.75C+300
We have two equations, two unknowns:
0.2(C+480)=0.75C+300
0.2C+96=0.75C+300
0.55C=294
C=534.55