Question

problem solving: division
learning target: solve word proble

1. the weight of a giant panda is 10 times the weight of a red panda. the combined weight of the pandas is 220 pounds. what is the weight of each panda?

Explanation:

Step1: Define Variables

Let \( r \) be the weight of the red panda (in pounds) and \( g \) be the weight of the giant panda (in pounds). We know two things: \( g = 10r \) (giant panda is 10 times red panda) and \( r + g = 220 \) (combined weight is 220 pounds).

Step2: Substitute \( g \) in the Second Equation

Since \( g = 10r \), substitute this into \( r + g = 220 \). So we get \( r + 10r = 220 \).

Step3: Combine Like Terms

\( r + 10r = 11r \), so the equation becomes \( 11r = 220 \).

Step4: Solve for \( r \)

Divide both sides by 11: \( r = \frac{220}{11} = 20 \). So the red panda weighs 20 pounds.

Step5: Solve for \( g \)

Since \( g = 10r \), substitute \( r = 20 \): \( g = 10 \times 20 = 200 \). So the giant panda weighs 200 pounds.

Answer:

Red panda: 20 pounds, Giant panda: 200 pounds