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

25 years

To find the number of years it will take Cody to collect 577 coins, we can set up an equation:

22 + 15x = 577

where x is the number of years.
Now, let's solve for x:

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

So, 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 start by subtracting the number of rare coins he already has (22) from the target number of coins (577). This will give us the remaining number of coins that Cody needs to collect.

Remaining coins = Target coins - Initial coins
Remaining coins = 577 - 22
Remaining coins = 555

Since Clark plans to add 15 coins to his collection each year, we can divide the remaining number of coins needed (555) by the number of coins Clark adds per year (15) to find out how many years it will take.

Years = Remaining coins / Coins added per year
Years = 555 / 15
Years ≈ 37

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