Question

Fido weighs 26 pounds more than Fifi. Fifi weighs 12 pounds less than Rover. If the sum of their weights is 71, how much does Fifi weigh?

Answer 1

By setting up a system of linear equations using the given relationships and solving for Fifi's weight, we find that Fifi weighs 11 pounds.

Step-by-step explanation:

The question involves solving a system of linear equations to find the weight of Fifi. We are given three pieces of information:

• Fido weighs 26 pounds more than Fifi.
• Fifi weighs 12 pounds less than Rover.
• The sum of their weights is 71 pounds.

Let's denote Fifi's weight as F, Rover's weight as R, and Fido's weight as D. Based on the information provided, we can write the following equations:

1. D = F + 26
2. F = R - 12
3. F + R + D = 71

To find Fifi's weight, we need to substitute the first two equations into the third one:

1. Substitute D from equation (1) into equation (3): F + R + (F + 26) = 71
2. Substitute R from equation (2) into the new equation: F + (F + 12) + (F + 26) = 71
3. Combine like terms: 3F + 38 = 71

Now, solve for F:

1. 3F = 71 - 38
2. 3F = 33
3. F = 11

Therefore, Fifi weighs 11 pounds.