Cody has 22 rare coins.each year clark plants to add 15 coins to his collection how many years will it take Cody to collect 557 coins
To collect 557 coins, Cody needs an additional 557 - 22 = <<557-22=535>>535 coins.
Since Clark adds 15 coins each year, it will take 535 / 15 = <<535/15=35.67>>35.67 years.
Hence, it will take Cody 36 years to collect 557 coins. Answer: \boxed{36}.
To find out how many years it will take for Cody to collect 557 coins, we need to determine the number of coins he adds each year.
Let's calculate how many coins Cody adds to his collection each year:
15 coins/year
To reach a target of 557 coins, Cody starts with 22 coins, and we need to determine how many times Cody needs to add 15 coins to reach 557. Let's set up an equation to solve for the number of years (y):
22 + 15y = 557
Subtracting 22 from both sides of the equation:
15y = 535
Dividing both sides of the equation by 15:
y = 35
Therefore, it will take Cody 35 years to collect 557 coins.
To find out how many years it will take Cody to collect 557 coins, we can set up an equation using the information given.
We know that Cody currently has 22 rare coins, and each year he plans to add 15 more coins to his collection.
Let's say it takes "x" years for Cody to collect 557 coins.
In "x" years, Cody will have added 15 coins to his collection each year, so the number of coins he will have will be:
22 + 15x
According to the problem, we want this number to be equal to 557:
22 + 15x = 557
Now, we can solve this equation to find the value of "x", which represents the number of years it will take Cody to collect 557 coins.
Subtract 22 from both sides:
15x = 557 - 22
15x = 535
Divide both sides by 15:
x = 535 / 15
x ≈ 35.67
Since we are dealing with years, we can round up to the nearest whole number. So, it will take Cody approximately 36 years to collect 557 coins.