Richard has $652 in his account and is planning a road trip. He looks at how expensive hotels and sightseeing costs are in certain cities, planning accordingly:
| City | Cost ($) |
|------------|----------|
| Detroit | 196.87 |
| Pittsburgh | 180.32 |
| St. Paul | 102.87 |
| Cincinnati | 155.81 |
| Richmond | 211.86 |
When Richard makes the calculations, he finds he does not have enough money to visit each city. What is the cheapest city that Richard can drop to avoid overdrawing his account?
A. Richmond
B. Detroit
C. Pittsburgh
D. Cincinnati
Answer (2)
Calculate the total cost of visiting all cities: T o t a lC os t = 196.87 + 180.32 + 102.87 + 155.81 + 211.86 = 847.73 .
Calculate how much Richard is short: S h or t = T o t a lC os t − 652 = 195.73 .
Determine the remaining amount if Richmond is dropped: 847.73 − 211.86 = 635.87 < 652 (enough money).
Determine the remaining amount if Detroit is dropped: 847.73 − 196.87 = 650.86 < 652 (enough money).
Compare the costs of Richmond and Detroit: Detroit is cheaper.
The cheapest city Richard can drop is Detroit. Therefore, the answer is De t ro i t .
Explanation
Understanding the Problem Richard has $652 in his account and is planning a road trip. He wants to visit Detroit, Pittsburgh, St. Paul, Cincinnati, and Richmond. The costs for each city are given in the table. Richard realizes that he does not have enough money to visit all the cities. We need to find the cheapest city that Richard can drop to avoid overdrawing his account.
Calculate the Total Cost First, let's calculate the total cost of visiting all the cities: T o t a lC os t = 196.87 + 180.32 + 102.87 + 155.81 + 211.86 = 847.73
Calculate the Short Amount Now, let's calculate how much money Richard is short: S h or t = T o t a lC os t − 652 = 847.73 − 652 = 195.73
Analyze Each City Since Richard is short $195.73 , he needs to drop a city that costs at least that much. We need to find the cheapest city he can drop. Let's analyze each option:
Richmond: Cost = $211.86 . If he drops Richmond, the remaining cost is 847.73 − 211.86 = 635.87 . Since 635.87 < 652 , he has enough money.
Detroit: Cost = $196.87 . If he drops Detroit, the remaining cost is 847.73 − 196.87 = 650.86 . Since 650.86 < 652 , he has enough money.
Pittsburgh: Cost = $180.32 . If he drops Pittsburgh, the remaining cost is 847.73 − 180.32 = 667.41 . Since 652"> 667.41 > 652 , he does not have enough money.
Cincinnati: Cost = $155.81 . If he drops Cincinnati, the remaining cost is 847.73 − 155.81 = 691.92 . Since 652"> 691.92 > 652 , he does not have enough money.
Find the Cheapest City Now we compare the costs of Richmond and Detroit. Since we want to find the cheapest city to drop, we compare $211.86 (Richmond) and $196.87 (Detroit). Detroit is cheaper.
Final Answer Therefore, the cheapest city Richard can drop to avoid overdrawing his account is Detroit.
Examples
Imagine you're planning a birthday party and have a set budget. You list all the items you want to include, like cake, decorations, and party favors, and realize the total cost exceeds your budget. This problem is similar to deciding which item to cut from your list to stay within budget, ensuring you can still have a great party without overspending. By prioritizing and making informed decisions, you can manage your resources effectively, just like Richard planning his road trip.
Richard can drop Detroit, which costs $196.87, to keep his trip within budget. By dropping this city, he will have enough funds remaining for the trip. Thus, the answer is Detroit.
;
