1. **Problem 1: Red and Yellow Paint Ratio** We have a tape diagram showing 3 cups of red paint repeated 3 times and 3 cups of yellow paint repeated 2 times. **a. Find the ratio of yellow paint to red paint.** - Red paint total cups: $3 + 3 + 3 = 9$ - Yellow paint total cups: $3 + 3 = 6$ The ratio of yellow paint to red paint is therefore: $$\frac{\text{yellow}}{\text{red}} = \frac{6}{9} = \frac{2}{3}$$ **Answer:** $2:3$ **b. How many total cups of orange paint will this mixture yield?** - Total cups = red paint + yellow paint = $9 + 6 = 15$ **Answer:** $15$ cups 2. **Problem 2: Cats and Dogs Ratio at the Kennel** The ratio of cats to dogs is $4:5$ and total animals are $27$. **a. What is the value of each small rectangle?** - Total parts in ratio = $4 + 5 = 9$ - Each part represents $\frac{27}{9} = 3$ animals **Answer:** $3$ **b. How many dogs are at the kennel?** - Dogs = $5$ parts $\times 3$ animals per part = $15$ **Answer:** $15$ **c. How many cats are at the kennel?** - Cats = $4$ parts $\times 3$ animals per part = $12$ **Answer:** $12$