When planning his crops, Farmer Joe knows that his 5 acres can support corn and strawberries. He wants to make $5,500 from his crops. He can make $1,000 per acre of corn (the variable c) and $1,500 per acre of strawberries (the variable s). Which equation below would be a constraint in his system of equations?

c + s = 5
c − s = 5
1,500c + 1,000s = 5,500
1,500s − 1,000c = 5,500

Question

When planning his crops, Farmer Joe knows that his 5 acres can support corn and strawberries. He wants to make $5,500 from his crops. He can make $1,000 per acre of corn (the variable c) and $1,500 per acre of strawberries (the variable s). Which equation below would be a constraint in his system of equations?

 c + s = 5
 c − s = 5
 1,500c + 1,000s = 5,500
 1,500s − 1,000c = 5,500

danjs · Answer

hi

danjs · Answer

c = acres of corn
s = acres of strawberries
.
.

danjs · Answer

Both the amount of money he makes, and the total Crop Acres are related to ..C and S

anonymous · Answer

okay I'm following

danjs · Answer

Total Acres = Acres Corn + Acres Strawberries

Total $ = (Acres Corn)*($corn per acre) + (Acres Strawberries)*($Straw per acre)

danjs · Answer

The problem gives, the total $  he wants, the price per acre of each crop, and the total acres of the farm

anonymous · Answer

yeah I'm following

danjs · Answer

putting those values in gives...

5 = C + S

$5500 = $1000*C + $1500*S

danjs · Answer

5 acres equals acres of corn plus acres straw..

5500 equals $1000 times acres of corn plus $1500 times acres of straw

danjs · Answer

that is your system of equations

anonymous · Answer

so the answer would be c+s=5 ?

danjs · Answer

right

anonymous · Answer

thank you so much