Linear value allocation — cash plus perk: Determine the monetary value of the free holiday. Mr. Johnson was to earn £300 and a free holiday for seven weeks' work. He worked only 4 weeks and received £30 and the same free holiday. Find the value (in pounds) of the holiday. Choose the correct amount.

Given data

• Total package for 7 weeks = £300 cash + holiday (value = H).
• Total received for 4 weeks = £30 cash + holiday (same H).

Concept/Approach
Assume compensation scales linearly with time: the 4-week package is 4/7 of the 7-week package.

Step-by-step calculation
(4/7) × (300 + H) = 30 + HMultiply by 7: 4(300 + H) = 7(30 + H)1200 + 4H = 210 + 7H1200 − 210 = 7H − 4H990 = 3H ⇒ H = 330

Verification
7-week total = 300 + 330 = 630. 4/7 of 630 = 360, which equals 30 + 330.

Final Answer
£ 330