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Anestetic [448]
2 years ago
15

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?​
Mathematics
1 answer:
lukranit [14]2 years ago
7 0

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.

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