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.