SOLUTION: Mr.Black bought 2 pounds of carrots and 3 pounds of spinach, for which he paid $20.00. Mr.cool paying the same prices, paid $11.25 for 1 pound of carrots and 2 pounds of spinach. F

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Question 1190182: Mr.Black bought 2 pounds of carrots and 3 pounds of spinach, for which he paid $20.00. Mr.cool paying the same prices, paid $11.25 for 1 pound of carrots and 2 pounds of spinach. Find the price of carrots and the price of a pound of spinach.

Found 2 solutions by josgarithmetic, Boreal:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
c price carrots
p price spinach
system%282c%2B3p=20%2Cc%2B2p=11.25%29
Any method you want.

maybe, multiply second equation by 2:
system%282c%2B3p=20%2C2c%2B4p=22.5%29
Eliminate c using this system....
.
.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
2C+3S=20.00
1C+2C=11.25; multiply the second by -2
-2C-4S=-22.50; add the first and this to eliminate the carrots
-S=-2.50
Spinach is $2.50
2C are $12.50 in first equation, so C=$6.25
Substitute in second
$6.25+$5.00=$11.25 so it checks.