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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Mathematics

Bradyn

Today, 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.