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?

Question

Determine the correct equation and solution for this situation.

(1 point)
Responses

15 + 22y = 577; 37 years

15y + 22 = 577; 37 years

37y = 577; 16 years

7y = 577; 82 years

Answer 1

To find out how many years it will take Cody to collect 577 coins, we can set up the equation based on the information given:

Cody currently has 22 coins. Each year, he adds 15 coins to his collection. We denote the number of years as \( y \). By the end of \( y \) years, his total number of coins will be:

\[ 22 + 15y \]

We want to find out when this total equals 577 coins:

\[ 22 + 15y = 577 \]

Now, we can solve for \( y \):

1. Subtract 22 from both sides:

\[ 15y = 577 - 22 \] \[ 15y = 555 \]

2. Divide both sides by 15:

\[ y = \frac{555}{15} \] \[ y = 37 \]

So it will take Cody 37 years to collect 577 coins.

The correct equation and solution for this situation is:

15y + 22 = 577; 37 years