SOLUTION: May buys combination of stamps of 45 cent and 65 cent she spends 24.50 on 50 how many of each did she buy

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Question 999540: May buys combination of stamps of 45 cent and 65 cent she spends 24.50 on 50 how many of each did she buy
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
Let us assume for a minute that all the stamps cost  45 cents each.
Then the total cost would be  50*45 = 2250 cents = $22.50,  which is in  $2 less than  $24.50.
It is clear that the difference is due to presence of  $0.65  stamps that we intently counted as  0.45.
It is also clear that the number of these  $0.65  stamps is   = = 10 to compensate the difference.

It gives the answer:  10 stamps in  65 cents  and  50-10 = 40  stamps in  45 cents.

For more problems that can be solved using this approach see the lessons
    Problem on animals at a farm
    Problem on pills in containers     and
    What type of problems are these?
under the topic  Miscellaneous Word Problems  of the section  Word problems  in this site.


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

May buys combination of stamps of 45 cent and 65 cent she spends 24.50 on 50 how many of each did she buy
Let number of .45 stamps purchased be F

Then number of 65c stamps purchased = 50 - F

We then get: .45F + .65(50 - F) = 24.5

.45F + 32.5 - .65F = 24.5

.45F - .65F = 24.5 - 32.5

- .2F = - 8

F, or number of 45c stamps purchased = , or 

Number of 65c stamps purchased: 50 - 40, or  

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