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You have space in your garden for 50 small flowering bulbs. Crocus bulbs cost $0.25 each and daffodil bulbs cost $0.85 each. Your budget allows you to spend $28.10 on bulbs. How many crocus bulbs
and how many daffodil bulbs can you buy?

Respuesta :

raylinehamlett
Hello,
We can set up two equations and solve the problem.
Let x be Crocus and y be daffodil. So:
x+y=40
.45x+.65y=20.40
Multiply the first equation by -.45 so to eliminate x. So we get:
-.45x-.45y=-18 Now add this to the second equation:
+.45x+.65y=20.40
And we get:
.20y=2.40 Divide each side by .25 to get:
y=12 Now we can find x by plugging 12 for y in the first equation:
x+12=40 Subtract 12 from both sides to get:
x=28
So now we know there are 12 daffodil and 28 crocus.
RJ

Answer: you can buy 24 crocus bulbs and 26 daffodil bulbs.

Step-by-step explanation:

Let x represent the number of crocus bulbs that you can buy.

Let y represent the number of daffodil bulbs that you can buy.

You have space in your garden for 50 small flowering bulbs. It means that

x + y = 50

Crocus bulbs cost $0.25 each and daffodil bulbs cost $0.85 each. Your budget allows you to spend $28.10 on bulbs. It means that

0.25x + 0.85y = 28.1- - - - - - - - -1

Substituting x = 50 - y into equation 1, it becomes

0.25(50 - y) + 0.85y = 28.1

12.5 - 0.25y + 0.85y = 28.1

- 0.25y + 0.85y = 28.1 - 12.5

0.6y = 15.6

y = 15.6/0.6

y = 26

x = 50 - y = 50 - 26

x = 24

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