Question

match the steps below that show how to write and evaluate an expression to represent the following word problem: a roller coaster can handle up to 30 passengers weighing an average of 160 pounds. new safety standards have lowered the maximum number of passengers by 5. if the average weight of a passenger stays the same, how much would a full - load of passengers weigh under the new limit? write the first expression, perform the operation in the parentheses, perform the next operation, write the combined expression, answer the question in context, identify the operations in the problem. 4000, 30 - 5, 160(25), under the new passenger limits, a full - load of passengers could weigh up to 4000 pounds. subtraction and multiplication, 160(30 - 5)

Explanation:

Step1: Identify the number of passengers

The original maximum number of passengers was 30, and it is lowered by 5. So the new number of passengers is $30 - 5=25$.

Step2: Calculate the total weight

The average weight of a passenger is 160 pounds. To find the total weight of the passengers, we multiply the number of passengers by the average weight per - passenger. So the expression is $160\times(30 - 5)=160\times25$.

Step3: Evaluate the expression

$160\times25 = 4000$ pounds.

Answer:

1. First expression: $30 - 5$
2. Operation in parentheses: Subtraction
3. Next operation: Multiplication
4. Combined expression: $160\times(30 - 5)$
5. Answer in context: Under the new passenger limits, a full - load of passengers could weigh up to 4000 pounds.
6. Operations in the problem: Subtraction and multiplication