The Micky Mac apple plantation has a very large orchard of apple trees. They have Macintosh apple trees, which yield an average of $16\text{,}000$ pounds per acre, and Jonathan apple trees, which yield an average of $14\text{,}500$ pounds per acre. The Micky Mac plantation has $M$ acres of Macintosh apple trees and $J$ acres of Jonathan apple trees.

1. Last year, the Micky Mac plantation yielded a total of $120\text{,}000$ pounds of apples. Write an equation that relates $M$ and $J$ to the total yield.

   Hint (a):

   How many pounds of Macintosh apples can be produced in $M$ acres?
   How many pounds of Jonathan apples can be produced in $J$ acres?
   How does this relate to $120\text{,}000$ lbs in the problem?

   Answer (a):

   $16\text{,}000 M + 14\text{,}500 J =120\text{,}000$

2. Macintosh apples sell for $$650$ per metric ton and Jonathan apples sell for $$700$ per metric ton. If the plantation produces apples worth $$1\text{,}070\text{,}000$ then write an equation relating $M$ and $J$. Note: One metric ton equals approximately $2200$ pounds.

   Hint (b):

   If an orchard of Macintosh apples yields $16\text{,}000$ lbs of apples an acre, how many tons is it?
   If an orchard of Jonathan apples yields $14\text{,}500$ lbs of apples an acre, how many tons is it?
   Remember $2200\text{ lbs} = 1\text{ metric ton}$.

   Answer (b):

   $$650(7.27 M) + $700(6.59 J) = $1\text{,}070\text{,}000$ or $$4725.50 M + $4613.00 J = $1\text{,}070\text{,}000$