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
37 years
27 years
25 years
To find the number of years it will take Cody to collect 577 coins, we need to subtract the number of coins he already has (22) from the target number of coins (577), and then divide by the number of coins Clark plans to add each year (15):
(577 - 22) / 15 = 555 / 15 = 37
Therefore, it will take Cody 37 years to collect 577 coins.
To find out how many years it will take for Cody to collect 577 coins, we can use the equation:
22 + 15x = 577
First, subtract 22 from both sides of the equation:
15x = 555
Next, divide both sides by 15:
x = 37
Therefore, it will take Cody 37 years to collect 577 coins. So, the correct answer is 37 years.
To solve this problem, we can set up an equation to represent the situation. Let's denote the number of years it will take Cody to collect 577 coins as "y".
In each year, Cody adds 15 coins to his collection. So, if we multiply the number of years (y) by 15, we will get the total number of coins he adds to his collection. Therefore, the equation becomes:
15y = 577 - 22
The subtraction of 22 is done because Cody already has 22 rare coins. Now we can solve for y:
15y = 577 - 22
15y = 555
y = 555/15
y ≈ 37
Therefore, it will take Cody approximately 37 years to collect 577 coins. So the correct answer is 37 years.