Marci has a total 50 stamps, consisting of 25 cent stamps and halves the number of 15 cent stamps, they will be worth of $16.50. How many 25 cent stamps and how many 15 cent stamps were there in the original 50?​

Answer :

Answer:

Originally there were 30, 25 cents stamps and 20, 15 cent stamps.

Step-by-step explanation:

We are given the following in the question;

Let x be the number of 25 cents stamps and y be the number of 15 cents stamps.

Marci has a total 50 stamps.

Thus, we can write

[tex]x+y=50[/tex]

Also,

[tex]x = \dfrac{y}{2}[/tex]

Total cost = $16.50

Thus, we can write the equation:

[tex]0.25x + 0.15y = 16.50[/tex]

Solving the two equations:

[tex]0.25\dfrac{y}{2} + 0.15y = 16.50\\\\(0.125+0.15)y = 16.50\\y = 60\\x = 30[/tex]

Originally,

[tex]x+y = 50\\30 + y = 50\\y = 20[/tex]

Thus, originally there were 30, 25 cents stamps and 20, 15 cent stamps.

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