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$7dollar sign, 7, and each time Savannah goes to the store she plans to spend \$9$9dollar sign, 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?
Answers
ANSWER - the least possible number of times that Miranda has been to the store is 9 times
CONCEPT - 7×9 or 9× 7 is 63
GIVEN -spent $ 7 and $ 9
FIND- least number of times that Miranda has been to the store
Step-by-step explanation:
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 week from now Miranda and savannah find out that they have spent the exact same total amount of money that the store
assume that the miranda goes to the store m times and savannah goes to the store 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 let's 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
m = 9
m represent the number of times that the Miranda goes to the store
FINAL ANSWER- 9 times