SOLUTION: Susie needs ten treats for a party, so she decides to buy a combination of large Nutella-filled cookies and gourmet cupcakes.The cookies are $2.50 each and the cupcakes are $5. How

Algebra ->  Linear-equations -> SOLUTION: Susie needs ten treats for a party, so she decides to buy a combination of large Nutella-filled cookies and gourmet cupcakes.The cookies are $2.50 each and the cupcakes are $5. How      Log On


   

Question 1065478: Susie needs ten treats for a party, so she decides to buy a combination of large Nutella-filled cookies and gourmet cupcakes.The cookies are $2.50 each and the cupcakes are $5. How many can she buy with $30?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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There are many different options/solutions.


Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
If she wants to buy 10 of them, then 2 cupcakes and 8 Nutella cookies.

x, the cookies
y, the cupcakes
system%28x%2By=10%2C2.5x%2B5y%3C=30%29

The cost restriction equation simplifies to x%2B2y%3C=12.

x%2By=10
x=10-y
Substitute:
10-y%2B2y%3C=12
10%2By%3C=12
y%3C=2 and then x=8.-----------Gives the desired 10 items.

You can look for other combinations that could work.