Question

Steve can save 9 dollars every day while Maria can save 12 dollars. What is the least number of days it
will take each person to save the same amount of money?

Answer 1

Answer:

The least number of days it  will take each person to save the same amount of money is 36 days.

Step-by-step explanation:

We are given that Steve can save 9 dollars every day while Maria can save 12 dollars.

And we have to find the least number of days it will take each person to save the same amount of money.

Whenever we talk about the least common value, the LCM or Least common multiple comes into account.

Here also; the least number of days it  will take each person to save the same amount of money will be the LCM or Least common multiple of 9 and 12.

LCM of 9 and 12 is calculated as;

2 = 9 , 12    

2 = 9 , 6

3 = 9 , 3

3 = 3 , 1

      1 , 1

Here, the second line means that 12 is divisible by 2 at 6, i.e; 2 $\times$ 6 = 12 and so on.

So, the LCM of 9 and 12 = $2\times 2 \times 3 \times 3$ = 36

Hence, the least number of days it  will take each person to save the same amount of money is 36 days.