If Bonnie spent 1/5 of $1,000 on traveling arrangements, she spent $200 on traveling arrangements.
1/5×1,000 = 200
Then she spent 2/3 of the remaining amount at the hardware store. The remaining money is $1,000-$200.
1,000-200 = 800
2/3×800 = 533 1/3
Since we are dealing with money here, 533 1/3 would become $533.33.
Then she treated her family with lunch with the remaining money. Well, the money she had left would be $1,000-$533.33.
1,000-533.33 = 466.67
So she had $466.67 remaining.
Well, after she spent that portion of $466.67 for a lunch, she had $300.50... meaning she spent $166.17 on the lunch.
466.67-300.50 = 166.17
So... Bonnie spent $166.17 on the lunch.