SOLUTION: Sam has two kinds of stamps, 27 cents and 33 cent stamps. Altogether, 24 stamps sold for a total of $6.84. How many of each type pf stamp does Sam have?

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Question 1101909: Sam has two kinds of stamps, 27 cents and 33 cent stamps. Altogether, 24 stamps sold for a total of $6.84. How many of each type pf stamp does Sam have?
Found 2 solutions by mreeve6380, ikleyn:
Answer by mreeve6380(1)   (Show Source): You can put this solution on YOUR website!
To solve this problem, you have to set up a system of equations:
Let x be the $0.27 stamps and y be the $0.33 stamps


To solve this, you need to use substitution. Solve the first equation for y (y=24-x)and then substitute it for the y in the second equation.

Then, distribute the .33:

Then,combine the .27 and the .33:

Then, subtract 7.92 from each side.

Then, divide by -.06 on each side.

X= 18, so there are 18 $0.27 stamps. Since there are 24 stamps total, you would subtract the 24 by 18 and get 6. There are 6 of the $0.33 stamps.
Answer: Sam sold 18 27 cent stamps and 6 33 cent stamps.
Answer by ikleyn(52817)   (Show Source): You can put this solution on YOUR website!
.
The question 
    "How many of each type pf stamp does Sam have?"

does not make sense in this context. The question which makes sense is 
    "How many of each type of stamps did Sam sell?"


I will answer the LAST question. 

  x +   y =  24,     (1)     (counting stamps)
27x + 33y = 684.     (2)     (counting cents)


From (1),  y = 24-x.  Substitute it into (2)


27x + 33*(24-x) = 684,'

27x + 33*24 - 33x = 684

-6x = 684 - 33*24 = -108  ====>  x =  = 18.


Answer. 18 stamps by 27 cents and  (24-18) = 6 stamps by 33 cents.


Check.  18*27 + 6*33 = 684.    ! Correct !


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