Celia and Ryan are starting a nutrition program. Celia currently consumes 1200 calories a day and will increase that number by 100 calories each day. Ryan currently consumes 3230 calories a day and will decrease that number by 190 each day. They will continue consuming that same number of calories per day. In how many days will that be?

Question

Mathematics

Bradyn

16 November, 13:26

Celia and Ryan are starting a nutrition program. Celia currently consumes 1200 calories a day and will increase that number by 100 calories each day. Ryan currently consumes 3230 calories a day and will decrease that number by 190 each day. They will continue consuming that same number of calories per day. In how many days will that be?

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Adolfo Manning · Answer 1

C is Celia's calorie count and R is Ryan's. d = days

C = 1200 + 100d

R = 3230 - 190d

Since you want to find when they will consume the same amount of calories, you set the two equations equal to each other: 1200 + 100d = 3230 - 190d.

Then, subtract 1200 from both sides: 100d = 2030 - 190d. Next, add 190d to both sides: 290d = 2030. Therefore, the number of days is eqal to 2030/290, which is 7.