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Phineas and Ferb had only 1-peso coin and 5-peso coin in their savings. They had 154 coins which has a total of P 466. How many kinds of each type of coins do they have?

1 Answer

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Final answer:

To figure out how many 1-peso and 5-peso coins Phineas and Ferb have, we can set up a system of equations and solve for the variables. They have 76 1-peso coins and 78 5-peso coins.

Step-by-step explanation:

To solve this problem, let's assign variables to represent the number of 1-peso coins and 5-peso coins. Let's say the number of 1-peso coins is x and the number of 5-peso coins is y. From the given information, we can set up two equations:

x + y = 154 (equation 1)

1x + 5y = 466 (equation 2)

We can solve this system of equations by using the substitution method or the elimination method. Let's solve it using the elimination method:

Multiplying equation 1 by 5, we get 5x + 5y = 770.

Subtracting equation 2 from this new equation, we get 4x = 304.

Dividing both sides by 4, we get x = 76.

Substituting this value of x into equation 1, we get 76 + y = 154.

Subtracting 76 from both sides, we get y = 78.

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