Answer:
The least possible number of times that Miranda has been to the is
store 9 times
Step-by-step explanation:
* Lets explain how to solve the problem
- Each time Miranda goes to the store she plans to spend $7
- each time Savannah goes to the store she plans to spend $9
- A few weeks from now, Miranda and Savannah find out that they have
spent the exact same total amount of money at the store
- We need to find the least possible number of times that Miranda has
been to the store
- Assume that Miranda goes to store for m times
- Assume that Savannah goes to store for n times
∴ Miranda spent → 7 × m = 7m dollars
∴ Savannah spent → 9 × n = 9n dollars
∵ They spent the same amount
∴ 7m = 9n
- m , n must be whole numbers, then lets find the least common
multiple of 7 and 9
∵ 7 and 9 have no common factor
∴ The first common multiple is 7 × 9 = 63
∴ 7m = 9n = 63
∵ 7m = 63
- Divide both side by 7
∴ m = 9
∵ m represents the number of time that Miranda goes to the store
∴ The least possible number of times that Miranda has been to the
is store 9 times
