The table shows the amount of money Jamie spent at a restaurant for the first three weeks.
WeekAmount spent ($)
136
239
337
4?
Jamie will get a free meal if the average amount of money he spent for three of the four weeks is $40 or more. What is the smallest amount Jamie must spend in Week 4 to receive the free meal? Ans : ___

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Worked solution

3

1. Calculate the minimum total amount needed for three weeks to achieve an average of $40

Total amount=3×40=120\text{Total amount} = 3 \times 40 = 120

2. Identify the two weeks with the highest spending to minimize the required spending in Week 4

The highest spending amounts in the first three weeks are $39\char36{}39 (Week 2) and $37\char36{}37 (Week 3).
Sum of highest two weeks=39+37=76\text{Sum of highest two weeks} = 39 + 37 = 76

3. Calculate the smallest amount needed in Week 4

Amount for Week 4=120−76=44\text{Amount for Week 4} = 120 - 76 = 44

Answer

$44

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