Rita earned $20 each day. lauren earned $2 the first day, $3 the second day, $4 the third day, and so on. richard earned $25 a day. lisa earned $1 the first day, $2 the second day, $4 the third day, and $8 the fourth day, and so on. who earned the most money in 10 days?
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the statement:
Rita earned $20 each day. Lauren earned $2 the first day, $3 the second day, $4 the third day, and so on. Richard earned $25 a day. Lisa earned $1 the first day, $2 the second day, $4 the third day, and $8 the fourth day, and so on.
Determine who earned the most money in 10 days.
Solution:
Solve for the money earned of each person individually.
Rita earned $20 each day
= (20)(10)
= $200
Lauren earned $2 the first day, $3 the second day, $4 the third day, and so on
= 2 + 3 + 4 +5 +6 + 7 + 8 +9 + 10 + 11
= $65
Richard earned $25 a day.
= (25)(10)
= $250
Lisa earned $1 the first day, $2 the second day, $4 the third day, and $8 the fourth day, and so on.
= 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512
= $1023
Final answer:
Lisa earned the most money in 10 days, which is $1023