Step 1 :Avery: \( \frac{360}{4} = 90 \) dollars per week.
Step 2 :Carmen: \( \frac{480}{6} = 80 \) dollars per week.
Step 3 :Avery earns \( 90 \times 12 = 1080 \) dollars and Carmen earns \( 80 \times 12 = 960 \) dollars in 12 weeks. During summer break, Avery will earn \( 1080 - 960 = 120 \) dollars more than Carmen.