Question

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 $7dollar sign, 7, and each time Savannah goes to the store she plans to spend $9dollar sign.
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?

Answer 1

Least possible number of times that Miranda has been to the store is 9 Explanation:

Given:

Amount spent by Miranda each time when she goes to the store= $7

Amount spent by Savannah each time when she goes to the store= $9

To Find:

The least possible number of times that Miranda has been to the store = ?

Solution:

For Miranda and Savannah to have spent the same amount

Number of times Miranda visits the store

After 1 visit she will spend = 7 x 1 = $7

After 2 visit she will spend = 7 x 2 = $14

After 3 visit she will spend = 7 x 3 = $21

After 4 visit she will spend = 7 x 4 = $28

After 5 visit she will spend = 7 x 5 = $735

After 6 visit she will spend = 7 x 6 = $42

After 7 visit she will spend = 7 x 7 = $49

After 8 visit she will spend = 7 x 8 = $56

After 9 visit she will spend = 7 x 9= $63

Number of times Savannah visits the store

After 1 visit she will spend = 9 x 1 = $9

After 2 visit she will spend = 9 x 2 = $18

After 3 visit she will spend = 9 x 3 = $27

After 4 visit she will spend = 9 x 4 = $36

After 5 visit she will spend = 9 x 5 = $45

After 6 visit she will spend = 9 x 6 = $54

After 7 visit she will spend = 9 x 7 = $63

So it takes 9 visits for Miranda and 7 visits for Savannah to spend the same amount.