Jarrah needs no less than $159 to purchase a new guitar. He already has $38 in his savings account. He has a plan to rake and bag leaves in his neighborhood to make more money. He decides to charge $5 a bag. What is the minimum number of full bags of leaves that Jarrah needs to rake in order to have enough money to buy the guitar? Show your work/thinking.

To find the minimum number of full bags of leaves that Jarrah needs to rake, we can subtract the money he already has from the total amount he needs to purchase the guitar.

Total amount needed = $159
Amount already saved = $38

Amount to be earned from raking leaves = $159 - $38 = $121

Since each bag earns him $5, Jarrah needs to rake at least $121 / $5 = 24.2 bags.

Since he cannot have a fraction of a bag, he will need to rake at least 25 bags of leaves.