Question

1. a farm has 6 goats and 30 cows. the farm gets more goats. now, the ratio of the number of goats to the number of cows is 3:5. part a circle an answer choice from each list to complete each statement. the original ratio of the number of goats to the number of cows is (a). a 6:36 36:6 6:30 30:6 after the farm gets more goats, the farm has a total of (b) goats and cows. b 54 48 42 36

Explanation:

Step1: Find original ratio

The original number of goats is 6 and cows is 30, so the original ratio of goats to cows is 6:30.

Step2: Find new number of goats

Let the new number of goats be $x$. Since the ratio of new - goats to cows is 3:5 and number of cows is 30, we have $\frac{x}{30}=\frac{3}{5}$. Cross - multiplying gives $5x = 90$, so $x = 18$.

Step3: Find total number of animals after getting more goats

The total number of goats and cows after getting more goats is $18 + 30=48$.

Answer:

A. 6:30
B. 48