1. Let's assign variables:
* Let 'c' represent the weight of one cat.
* Let 'd' represent the weight of one dog.
* Let 'm' represent the weight of one monkey.
2. Translate the information into equations:
* "Seven cats and 3 dogs weigh as much as 4 monkeys": 7c + 3d = 4m
* "One monkey weighs 1 cat AND a dog": m = c + d
3. The problem asks how many dogs equal the weight of one monkey. We want to find the value of 'd' in terms of 'm'.
4. Substitute the second equation into the first equation:
* 7c + 3d = 4(c + d)
5. Simplify and solve for 'd':
* 7c + 3d = 4c + 4d
* 3c = d
6. Since we know m = c + d, we can substitute to get 'd' in terms of 'm':
* m = c + (3c)
* m = 4c
* c = m/4
7. Now substitute the value of 'c' back into the equation 3c = d:
* 3(m/4) = d
* (3/4)m = d
Therefore, the weight of one monkey is equal to (3/4) of a dog's weight. You would need 4/3 dogs to equal the weight of one monkey.