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Question 730044: Annie plans to grow vegetables in her backyard. She wants to grow onions and tomatoes,and plans to buy 6 times as many onion plants as tomato plants. Tomato plants cost $0.99 each and onion plants cost $0.08 each. Annie has $60 to spend. If Annie buys exactly 6 times as many onion plants as she buys tomato plants, how many onion plants can she buy without going over $60?
Can you help me? I've tried: (x=onion,y=tomato)
0.08(6)x <= $60-0.99 y <- but i got 9.35
Found 2 solutions by lynnlo, ikleyn:
Answer by lynnlo(4176)   (Show Source):
Answer by ikleyn(53475)  (Show Source):
You can put this solution on YOUR website! .
Annie plans to grow vegetables in her backyard. She wants to grow onions and tomatoes, and plans to buy 6 times
as many onion plants as tomato plants. Tomato plants cost $0.99 each and onion plants cost $0.08 each.
Annie has $60 to spend. If Annie buys exactly 6 times as many onion plants as she buys tomato plants,
how many onion plants can she buy without going over $60?
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Let x be the number of the tomato plants (the value under the problem's question).
Then the number of the onion plants is 6x, according to the problem.
Write your inequality for the total money
0.99x + 0.08*(6x) <= 60 dollars.
Simplify
(0.99+0.08*6)x <= 60,
1.47x <= 60,
x <=  = 40.82...
In this problem, we should round this decimal number down, to the closest lesser integer number, which is 40.
ANSWER. Within this scheme and within the budget, Annie can buy 6*40 = 240 onion plants.
Solved.
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