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Digital SAT
Digital SAT Mathematics - No Calculator Section

Hours Worked for Survey Forms

Hard Heart Of Algebra Systems Of Linear Equations And Inequalities

Julia and Mark are collaborating on a project that involves creating survey forms. Julia can independently produce survey forms at a rate of 3 forms per hour, while Mark can produce them at a rate of 2 forms per hour. Together, they want to create a total of 50 survey forms.

Let $x$ be the number of hours they work together. The relationship between their combined production and time can be modeled by the equation:

$$5x = 50$$

How many hours did Julia and Mark work together to produce the 50 forms? Enter the answer as a decimal or fraction.

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