Miranda and savannah are excited that a new store just opened in town! they go together the first day it opens! each time miranda goes to the store she plans to spend $7, and each time savannah goes to the store she plans to spend $9 a few weeks from now, miranda and savannah are surprised to find out that they have spent the exact same total amount of money at the store. what is the least possible number of times that miranda has been to the store?

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

step-by-step explanation: