Question

eve and julian are making their own pizzas. eves crust weighs 18 ounces, and julians 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.
a) which equation can you use to find w, the weight of a spoonful of tomato sauce in ounces?
$18 + 4w = 12w + 8$ $18 + 4w = 12 + 8w$
b) how much does a spoonful of tomato sauce weigh?
c) identify any fractions.

Explanation:

Part 4i)

Step1: Analyze Eve's Pizza Weight

Eve's crust is 18 ounces, and she adds 4 spoonfuls of sauce (each of weight \( w \) ounces), so her total weight is \( 18 + 4w \).

Step2: Analyze Julian's Pizza Weight

Julian's crust is 12 ounces, and he adds 8 spoonfuls of sauce (each of weight \( w \) ounces), so his total weight is \( 12 + 8w \).

Step3: Set Up the Equation

Since their pizzas weigh the same, we set Eve's total weight equal to Julian's total weight: \( 18 + 4w = 12 + 8w \).

Step1: Start with the Equation

We have the equation \( 18 + 4w = 12 + 8w \).

Step2: Subtract \( 4w \) from Both Sides

\( 18 + 4w - 4w = 12 + 8w - 4w \) simplifies to \( 18 = 12 + 4w \).

Step3: Subtract 12 from Both Sides

\( 18 - 12 = 12 + 4w - 12 \) simplifies to \( 6 = 4w \).

Step4: Divide Both Sides by 4

\( \frac{6}{4} = w \), which simplifies to \( w = 1.5 \).

Answer:

\( 18 + 4w = 12 + 8w \)

Part 4ii)