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A farmer grows only pumpkins and corn on her 420 -acre farm.
This year she wants to plant 250 more acres of corn than pumpkins.
How many acres of each crop does the farmer need to plant?
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Let P be the pumpkins area (in acres).
Then the corn area is (P+250) acres, according to the condition.
With it, write the total area equation as you read the text
P + (P+250) = 420 acres.
Simplify and find P
2P = 420 - 250 = 170
P = 170/2 = 85.
ANSWER. 85 acres of pumpkins and 85 + 250 = 335 acres of corn.
CHECK. The total area is 85 + 335 = 420 acres. ! Correct !
Solved.
There is another way to solve the problem.
You can write the system of two equations
C + P = 420
C - P = 250.
To solve it, add the equations.
Doing this way to the end, you will get the same answer.
Solved (in two ways).
Happy learning (!)