Cody has 22 rare coins. Each year Clark plans to add 15 coins to his collection. How many years will it take Cody to collect 577 coins?(1 point) Responses 40 years 40 years 37 years 37 years 27 years 27 years 25 years

To determine the number of years it will take Cody to collect 577 coins, we need to set up an equation.

Let x = the number of years it will take Cody to collect 577 coins.

In x years, Cody will have 22 + 15x coins.

We can set up the equation as follows:

22 + 15x = 577

Subtracting 22 from both sides:

15x = 555

Dividing both sides by 15:

x = 37

Therefore, it will take Cody 37 years to collect 577 coins.

To find out how many years it will take Cody to collect 577 coins, we can set up an equation:

22 + 15x = 577

where x represents the number of years.

To solve for x, we can isolate it by subtracting 22 from both sides of the equation:

15x = 577 - 22

Simplifying further:

15x = 555

Now, divide both sides of the equation by 15 to solve for x:

x = 555 / 15

This gives us:

x ≈ 37

Therefore, it will take Cody approximately 37 years to collect 577 coins. So the correct answer is 37 years.

To determine how many years it will take Cody to collect 577 coins, we need to find the number of years it takes for his collection to reach that amount.

Starting with 22 rare coins, each year Cody adds 15 more coins to his collection.
So, the total number of coins added each year is 15.

To find the number of years required, we can set up an equation:

22 + 15y = 577

Where:
y represents the number of years.

Now, let's solve for y:

15y = 577 - 22
15y = 555
y = 555/15
y = 37

Therefore, it will take Cody 37 years to collect 577 coins.