Question

Kyle already knew 19 appetizer recipes before starting culinary school, and he will learn 1

Answer 1

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.