SOLUTION: A farmer raises wheat and oats on 180 acres. SHe plants wheat on 20 more acres than she plants oats on. How many acres of each crop does the farmer plant? and Enrico says, "

Question 1819: A farmer raises wheat and oats on 180 acres. SHe plants wheat on 20 more acres than she plants oats on. How many acres of each crop does the farmer plant?
and
Enrico says, "I'm Thinking of 2 mystery numbers. One number is 3 times the other. The sum of the two numbers is 48". What are enrico's mystery numbers?
Please help me!
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
Define w to be the number of acres planted with wheat
Define t (i wont use o as that will be confusing) to be the number of acres planted with oats.
We know the total acreage is 180, so mathematically this is w+t=180.
Also, we know that 20 more acres of wheat were planted, ie w=t+20.
So we have 2 equations, 2 unknowns...we can solve this.

Adding them together gives . Therefore w=100acres.
Hence, t was 80acres.
========================================================
2. Again define first number = a and second number = b
So we know that 3a=b (eqn1) and also that a+b = 48 (eqn2)
From equation2, b=48-a. We now sub this into eqn1, giving 3a=48-a. Re-arranging gives 4a=48. Hence a=12.
We then can see that b=36
cheers
Jon.
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