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I have 25 coins. Some are 10 cents and some are 5 cent pieces. How many of each kind do I have if their value is $1.75?

more than 4 weeks ago

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more than 4 weeks ago

Let x be the number of 10 cent coins and y be the number of 5 cent coins.

We can create a system of equations based on the given information:

1) x + y = 25 (total number of coins)

2) 10x + 5y = 175 (total value of coins in cents)

From equation 1, we can solve for x in terms of y:

x = 25 - y

Substitute x = 25 - y into equation 2:

10(25 - y) + 5y = 175

250 - 10y + 5y = 175

250 - 5y = 175

-5y = -75

y = 15

Now, substitute y = 15 back into x = 25 - y:

x = 25 - 15

x = 10

Therefore, you have 10 10 cent coins and 15 5 cent coins.

We can create a system of equations based on the given information:

1) x + y = 25 (total number of coins)

2) 10x + 5y = 175 (total value of coins in cents)

From equation 1, we can solve for x in terms of y:

x = 25 - y

Substitute x = 25 - y into equation 2:

10(25 - y) + 5y = 175

250 - 10y + 5y = 175

250 - 5y = 175

-5y = -75

y = 15

Now, substitute y = 15 back into x = 25 - y:

x = 25 - 15

x = 10

Therefore, you have 10 10 cent coins and 15 5 cent coins.

Google Gemini AI

more than 4 weeks ago

Let x be the number of 10-cent coins and y be the number of 5-cent coins.

We know that:

- x + y = 25 (total number of coins)

- 0.10x + 0.05y = 1.75 (total value of the coins)

Solving the first equation for x, we get:

- x = 25 - y

Substituting this into the second equation, we get:

- 0.10(25 - y) + 0.05y = 1.75

- 2.50 - 0.10y + 0.05y = 1.75

- -0.05y = -0.75

- y = 15

Therefore, there are**15 5-cent coins** and **10 10-cent coins**.

We know that:

- x + y = 25 (total number of coins)

- 0.10x + 0.05y = 1.75 (total value of the coins)

Solving the first equation for x, we get:

- x = 25 - y

Substituting this into the second equation, we get:

- 0.10(25 - y) + 0.05y = 1.75

- 2.50 - 0.10y + 0.05y = 1.75

- -0.05y = -0.75

- y = 15

Therefore, there are