Asked by Anonymous
Peter and Cindy each had some money at first. Peter started spending $1.20 daily.
After 15 days, Cindy started spending 1 2/3 of what Peter spent daily. When CIndy
spent all of her money, she had spent $11.60 more than Peter.
a) How many days did Cindy take to spend all of her money?
b) How much did Peter spend in total when Cindy spent all of her money?
After 15 days, Cindy started spending 1 2/3 of what Peter spent daily. When CIndy
spent all of her money, she had spent $11.60 more than Peter.
a) How many days did Cindy take to spend all of her money?
b) How much did Peter spend in total when Cindy spent all of her money?
Answers
Answered by
oobleck
If they started with $p and $c, respectively, then after d days, they had left
p - 1.20d
c - 5/3 * 1.20 (d-15)
c=0 after d = 15 + c/2 days
at that point, Peter had spent 6/5 (15 + c/2)
c = 6/5 (15 + c/2) + 11.60
c = 74
check:
Cindy spent $2/day so she spent $74 in 37 days
Peter had spent 74.00-11.60 at 1.20 per day, in 52 = 37+15 days
p - 1.20d
c - 5/3 * 1.20 (d-15)
c=0 after d = 15 + c/2 days
at that point, Peter had spent 6/5 (15 + c/2)
c = 6/5 (15 + c/2) + 11.60
c = 74
check:
Cindy spent $2/day so she spent $74 in 37 days
Peter had spent 74.00-11.60 at 1.20 per day, in 52 = 37+15 days
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