Homework Help: Math

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.

Answer this Question

Related Questions

algebra - bobs garden is a 20 ft times 10 ft rectangle . bob plants tomatoes in ...
Math - Jill wants to put 45 sunflower plants, 81 corn plants, and 63 tomato ...
Algebra - Rose decided to create a flower bed in front house. One-half of her ...
Algebra - Rose decided to create a flower bed n front of her house. One-half of ...
algebra - You are planning an ornamental garden that has a total area of 200 ...
math - My next-door neighbor loves to grow things in her garden, but she likes ...
Math - It's time to plant a spring vegetable garden 1/3 will be root plants...
Math - Mary purchased a package of 13 different plants, but she only needed 9 ...
math - jim and alice moore decided to plant a garden with 3 hosta plants, 6 ...
6th grade math - liam is planting 30 bean plants and 45 pea plants in his garden...

For Further Reading

First Name:
School Subject:
Answer: