Eve and Julian are making their own pizzas. Eve's crust weighs 18 ounces, and Julian's crust weighs 12 ounces. After Eve adds 4 spoonfuls of tomato sauce to her pizza and Julian adds 8 spoonfuls to his, the two pizzas weigh the same. Which equation can you use to find \( w \), the weight of a spoonful of tomato sauce in ounces? \[ 18+4 w=12 w+8 \] How much does a spoonful of tomato sauce weigh? Simplify any fractions. ounces

To find the weight of a spoonful of tomato sauce, we start with the equation given: \[ 18 + 4w = 12 + 8w \] Now, let's simplify and solve for \( w \). 1. First, we can rearrange the equation to isolate the terms involving \( w \) on one side. Subtract \( 4w \) from both sides: \[ 18 = 12 + 8w - 4w \] This simplifies to: \[ 18 = 12 + 4w \] 2. Next, subtract 12 from both sides to isolate the term with \( w \): \[ 18 - 12 = 4w \] This simplifies to: \[ 6 = 4w \] 3. Now, divide both sides by 4 to solve for \( w \): \[ w = \frac{6}{4} \] 4. Simplifying the fraction gives: \[ w = \frac{3}{2} = 1.5 \] Thus, the weight of a spoonful of tomato sauce is: \[ \boxed{1.5} \text{ ounces} \]