Question

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 1

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

$x+y=50$

Also,

$x = \dfrac{y}{2}$

Total cost = $16.50

Thus, we can write the equation:

$0.25x + 0.15y = 16.50$

Solving the two equations:

$0.25\dfrac{y}{2} + 0.15y = 16.50\\\\(0.125+0.15)y = 16.50\\y = 60\\x = 30$

Originally,

$x+y = 50\\30 + y = 50\\y = 20$

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