SOLUTION: Three boys are going to a party and comparing how much money they have. sam works out that he has $6 more than Mark and $12 more than Dean. If they have $75 altogether, how much

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Question 62515: Three boys are going to a party and comparing how much money they have. sam works out that he has $6 more than Mark and $12 more than Dean. If they have $75 altogether, how much does Sam have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
s = m + 6
m = s - 6
s = d + 12
d = s - 12
s + m + d = 75
s + (s - 6) + (s - 12) = 75
3s - 18 = 75
3s = 93
s = 31
m = s - 6
m = 31 - 6
m = 25
d = s - 12
d = 31 - 12
d = 19
Sam has $31, Mark has $25, Dean has $19
check
s + m + d = 75
31 + 25 + 19 = 75
OK