1. The problem asks to find an equivalent expression for the total number of candies in 1 bag, given the total for $b$ bags is $bg + by$. 2. The original expression is $bg + by$, which represents $b$ bags each containing $g$ green candies and $y$ yellow candies. 3. We can factor out $b$ from both terms using the distributive property: $$bg + by = b(g + y)$$ 4. This shows that the total candies in $b$ bags is $b$ times the total candies in 1 bag. 5. Therefore, the total number of candies in 1 bag is the expression inside the parentheses: $$g + y$$ 6. Among the given options, $b(g + y)$ is the expression for $b$ bags, so the equivalent expression for 1 bag is simply $g + y$. Final answer: $g + y$