Final answer:
To determine how much money Henry had in his account at the start of week 1, we can work backwards. Since he ended week 3 with $0, the amount of money he had at the start of week 1 is equal to the total amount of money he spent during the three weeks. However, the question doesn't provide any information about the amount spent during week 2, so we cannot determine how much money Henry had at the start of week 1 based on the given information.
Step-by-step explanation:
To determine how much money Henry had in his account at the start of week 1, we can work backwards. Since he ended week 3 with $0, we know that he spent all of his money by that point. Therefore, the amount of money he had at the start of week 1 is equal to the total amount of money he spent during the three weeks. Let's assume Henry spent a total of X dollars. Then:
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Since he ended week 3 with $0, we can set up the equation:
X - (X - ext{amount spent during week 1}) - (X - ext{amount spent during week 1} - ext{amount spent during week 2}) = 0
Simplifying the equation, we get:
X - X + ext{amount spent during week 1} - X + ext{amount spent during week 1} - ext{amount spent during week 2} = 0
Simplifying further, we get:
2X - ext{amount spent during week 1} - ext{amount spent during week 2} = 0
Since we know the total amount spent during the three weeks is X, we can substitute X in the equation:
2X - X - ext{amount spent during week 2} = 0
Simplifying again, we get:
X - ext{amount spent during week 2} = 0
Finally, solving for X, we get:
X = ext{amount spent during week 2}
Therefore, the amount of money Henry had in his account at the start of week 1 is equal to the amount of money he spent during week 2. Unfortunately, the question doesn't provide any information about the amount spent during week 2, so we cannot determine how much money Henry had at the start of week 1 based on the given information. The correct answer is not provided among the options given.