Question

hannah volunteers at an animal shelter every saturday. last saturday, she fed each bunny at the shelter 3 carrots. hannah fed 30 carrots to the bunnies in all. let b represent the number of bunnies at the shelter. which equation models the problem? 3b = 30
$\frac{b}{3}$ = 30
solve this equation to find the number of bunnies at the shelter.
bunnies

Explanation:

Step1: Identify the correct equation

Hannah fed each bunny 3 carrots, and the total number of carrots is 30. If \( b \) is the number of bunnies, the equation should be \( 3b = 30 \) (since each of the \( b \) bunnies gets 3 carrots, total carrots are \( 3 \times b \)). The other equation \( \frac{b}{3}=30 \) would imply each bunny gets \( \frac{1}{3} \) of a carrot, which doesn't make sense here. So we use \( 3b = 30 \).

Step2: Solve for \( b \)

To solve \( 3b = 30 \), divide both sides by 3:
\( b=\frac{30}{3} \)

Step3: Calculate the value of \( b \)

\( \frac{30}{3}=10 \)

Answer:

The number of bunnies at the shelter is 10. The correct equation is \( 3b = 30 \), and solving it gives \( b = 10 \).