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?

Question

Mathematics

Isai Le

31 March, 16:56

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?

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Mohammed Horton · Answer 1

Here, you have to find the LCM, or least common multiple of both values. The multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, etc. The multiples of 9: 9, 18, 27, 36, 45, 54, 63, etc. The smallest possible number that appears in both sets is 63, so 63 times.