Final answer:
To solve the problem, set up an equation to find the total number of rabbits and then the total number of pets in the shop. Calculate the number of puppies and subtract from the number of rabbits to get the difference, resulting in 16 more rabbits than puppies.
Step-by-step explanation:
In order to solve the problem of how many more rabbits there were than puppies in the pet shop, we need to follow a series of steps involving fractions and basic multiplication. First, we must determine the total number of rabbits, using the information that 7/10 of the rabbits were white and that there were 28 white rabbits.
Since 7/10 of the rabbits are white, and there are 28 white rabbits, we can set up the equation:
- 7/10 × (total number of rabbits) = 28
Solving this equation gives us the total number of rabbits:
- (total number of rabbits) = 28 × (10/7) = 40
We are told that 5/8 of the pets are rabbits, which we now know is 40:
- 5/8 × (total number of pets) = 40
Thus, the total number of pets is:
- (total number of pets) = 40 × (8/5) = 64
Since 5/8 of the pets are rabbits, the remaining 3/8 must be puppies:
- 3/8 × (total number of pets) = 3/8 × 64 = 24
Therefore, the number of puppies is 24, and since there are 40 rabbits, we subtract the number of puppies from rabbits to find the difference:
- 40 rabbits - 24 puppies = 16
There are 16 more rabbits than puppies in the pet shop.