Kyle already knew 19 appetizer recipes before starting culinary school, and he will learn 1 new appetizer recipe during each week of school. After how many weeks of culinary school
will Kyle know a total of 47 appetizer recipes?

So you know he starts off with 19. This is the first term. He learns one more each week, so let’s assign this the variable w.

19+1w

Set this equal to 47, since you’re solving how many to get to 47 recipes.

19+1w=47

To find out how many weeks, isolate the variable. Begin by combining like terms. Move the 19 to the side of the 47 by subtracting.

19+1w=47
-19 -19
—————-
1w= 28

To further isolate w, divide both sides by 1. This removes the coefficient from w and isolates it.

1w=28
—- ——
1 1

w=28

This means it will take him 28 weeks to learn 47 appetizer recipes in total. To check this answer, simply plug it back into the original equation.

19+1(28)=47
19+28=47
47=47

This means the answer is right, it will take 28 weeks.

I hope this helps! Please comment if you need any more explanation and I’ll get back to you ASAP.