I like to generalize.
]]>where a[sub]n[/sub] is the number of oranges Shomika has left after giving to the nth person, and a[sub]3[/sub] = 10. So you just work backwards and find a[sub]0[/sub].
(a[sub]0[/sub] = 122.)
PS:
Shomika was helping her family pick oranges in their grove. She took some oranges home to share with her three friends. She gave 3 more than half to Jennifer. Angela got half of the remainder and 3 more. She gave Josie half of the remainder plus 3. When she got home, she had only 10 oranges left. How many did she have when she left the grove?
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