Posted by **Kim** on Sunday, January 13, 2013 at 6:06am.

Tom planted 81 plants in his garden at a total cost of $21.85. The 81 plants consisted of peppers at 20 cents each tomatoes at 35 cents each and eggplants at 30 cents each. If the total number of peppers and tomatoes was only half the number of eggplants, then how many of each did he plant?

- Math -
**Reiny**, Sunday, January 13, 2013 at 9:06am
number of tomatoes --- x

number of peppers ---- y

number of eggplants --- z

x+y+z = 81 (#1)

35x + 20y + 30z = 2185

or

7x + 4y + 6z = 437 (#2)

x+y = (1/2)z

2x + 2y = z (#3)

plug #3 into #1

x+y+2x+2y=81

3x + 3y=81

x+y = 27 --- or y = 27-x ---- #4

plug #3 into #2

7x + 4y + 6(2x+2y) = 437

19x + 16y = 437 --- #5

sub #4 into #5

19x + 16(27-x) = 437

3x = 5

uggghhhh, x should be a whole number

either I made an arithmetic error or the question is bogus.

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