SOLUTION: Maria , Amy , and Sadie share food expensive. Amy pays $10 a month less than Maria. Sadie pays twice as much as Amy . If the monthly food bill is $310 how much does each pay

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Maria , Amy , and Sadie share food expensive. Amy pays $10 a month less than Maria. Sadie pays twice as much as Amy . If the monthly food bill is $310 how much does each pay      Log On


   

Question 886530: Maria , Amy , and Sadie share food expensive. Amy pays $10 a month less than Maria. Sadie pays twice as much as Amy . If the monthly food bill is $310 how much does each pay
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
A + M + S = 310
M = A+10
S = 2A
Substitute the known values from the bottom equations into the top equation:
A + M + S = 310
A + (A+10) + 2A = 310
4A + 10 = 310
Subtract 10 from each side
4A = 300
Divide each side by 4
A = 75
.
If Amy pays $75, then Sadie pays twice that much ($150) and Maria pays $85 ($10 more than Amy).
75 + 150 + 85 = 310