SOLUTION: Neichelle is planning her spring flower garden. She wants to plant tulip and daffodil bulbs. She will plant 5 times as many daffodil bulbs as tulip bulbs. If she wants to plant 204

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Neichelle is planning her spring flower garden. She wants to plant tulip and daffodil bulbs. She will plant 5 times as many daffodil bulbs as tulip bulbs. If she wants to plant 204      Log On


   



Question 1205766: Neichelle is planning her spring flower garden. She wants to plant tulip and daffodil bulbs. She will plant 5 times as many daffodil bulbs as tulip bulbs. If she wants to plant 204 bulbs, how many tulip bulbs and how many daffodil bulbs should she plant?
Number of tulip bulbs = __________________
highlight%28cross%28Nummber%29%29 Number of daffodil bulbs = __________________

Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52760) About Me  (Show Source):
You can put this solution on YOUR website!
.
Neichelle is planning her spring flower garden. She wants to plant tulip and daffodil bulbs.
She will plant 5 times as many daffodil bulbs as tulip bulbs.
If she wants to plant 204 bulbs, how many tulip bulbs and how many daffodil bulbs should she plant?
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Let x be the number of the tulip bulbs.

Then the number of the daffodil bulbs is 5x.


An equation for the total is

    x + 5x = 204.


Simplify and find x

     6x    = 204

      x    = 204/6 = 34.


ANSWER.  34 tulip bulbs and 5*34 = 170 daffodil bulbs.

Solved.



Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
She will plant 5 times as many daffodil bulbs as tulip bulbs. 
If she wants to plant 204 bulbs, how many tulip bulbs and how
many daffodil bulbs should she plant?

Word problems that ask for two quantities are usually easier 
to think through and set up using two unknowns. That's a 
separate unknown for each quantity, and a separate equation
for each sentence.

The first sentence simply tells us: 



Let D = the number of daffodil bulbs to plant.
Let T = the number of tulip bulbs to plant.

So that is just the equation D = 5T.

The second sentence simply tells us:

...she wants to plant 204 bulbs...



So that is just the equation D + T = 204

system%28D=5T%2CD%2BT=204%29

Substitute 5T for D in the 2nd equation.

5T%2BT=204
6T=204
T=34

Substitute 34 for T in D+T=204

D%2B34=204
D=170
how many tulip bulbs and how many daffodil
bulbs should she plant?
She should plant 34 tulip bulbs and 170 daffodil bulbs.

Edwin