SOLUTION: Homer Simpson weighs 400 pounds. He is on a diet to lose 5 pounds each week. Barney Gumble weighs 322 pounds. He is on a diet to lose 3 pounds each week. How long will it take

Question 389335: Homer Simpson weighs 400 pounds. He is on a diet to lose 5 pounds each week. Barney Gumble weighs 322 pounds. He is on a diet to lose 3 pounds each week. How long will it take for them to weigh the same?
Found 2 solutions by robertb, nerdybill:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
400 + (n-1)(-5) = 322 + (n-1)(-3);
400-5n + 5 = 322 - 3n + 3;
405 - 5n = 325 - 3n;
80 = 2n;
n = 40,
n - 1 = 39, the number of weeks after which they will weigh the same.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Homer Simpson weighs 400 pounds. He is on a diet to lose 5 pounds each week. Barney Gumble weighs 322 pounds. He is on a diet to lose 3 pounds each week. How long will it take for them to weigh the same?
.
Let w = weeks of dieting
then
400-5w = 322-3w
400 = 322+2w
78 = 2w
39 weeks = w

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