Problem
Emily earns $£ 4289$ each month before tax is taken out. This amount is then split into three parts: She doesn't pay any tax on $£ 979$ of it. She pays $20 \%$ tax on $£ 3225$ of it. She pays $40 \%$ tax on the rest of it. How much of Emily's monthly earnings are left after tax has been taken out? Give your answer in pounds $(£)$.
Solution
Step 1 ：Calculate the remaining amount taxed at 40%: \(4289 - 979 - 3225 = 85\)
Step 2 ：Calculate the tax on £3225 (20% tax) and £85 (40% tax): \(0.20 \times 3225 = 645\) and \(0.40 \times 85 = 34\)
Step 3 ：Subtract the total tax from Emily's initial earnings: \(4289 - 645 - 34 = 3610\)
Step 4 ：\(\boxed{3610}\)
