Question

Define variables and write the concluding sentence for the following word

problem (do not solve, do not write the system): Neira and Ayden are each saving
money to buy a car. Neira has $300 in the bank, and saves $250 per month.
Ayden has $400 in the bank and saves $200 per month. After how many months
of saving money does Neira have more money in the bank than Ayden?

Answer 1

Variables N and A represent Neira's and Ayden's savings over m months. The problem aims to determine the number of months m after which Neira has more savings than Ayden, with the concluding sentence highlighting this comparison.

Step-by-step explanation:

In the word problem provided, we need to define variables that represent the amounts Neira and Ayden save each month, and their initial savings. Let's use N to represent the total amount of money Neira will have after a certain number of months, and A for Ayden's total. Also, let m represent the number of months they save.

Therefore, Neira's savings can be represented as N = 300 + 250m, and Ayden's savings can be represented as A = 400 + 200m. The question asks for the value of m at which Neira's savings exceed Ayden's.

The concluding sentence could be: After m months of saving, Neira will have more money in the bank than Ayden when her total savings N exceed Ayden's total savings A.