Question

Heather already knew 19 appetizer recipes before starting culinary school,and she will learn 3 new appetizer recipes during each week of school.After how many weeks of culinary school will Heather know a total of 28 appetizer recipes?

Answer 1

According to the problem, Heather already knew 19 recipes.

She will learn at a rate of 3 recipes per week.

To know the total number of weeks it will take to know 28 recipes, we form the following equation.

`y=19+3x`

Where x represents weeks, and y represents recipes. Let's solve for x when y = 28.

`\begin{gathered} 28-19=3x \\ 9=3x \\ x=(9)/(3) \\ x=3 \end{gathered}`

Hence, it will take 3 weeks only.