Question

Joanne has 20 books on crafts and cooking. she has 6 more cookbooks than craft books. how many of each does she have?​

Answer 1

Answer:

Crafts books: 7

Cookbooks: 13

Step-by-step explanation:

Let x be the crafts book

Let y be the cookbooks

Solve for x:

1. Plug x and y in: x + y = 20
2. Re-write: y = x + 6
3. Plug in x + 6 instead of y: x + x + 6 = 20
4. Combine like terms: 2x + 6 = 20
5. Subtract 6 from each side, so it now looks like this: 2x = 14
6. Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 7

Solve for y:

1. Re-use an equation from above: y = x + 6
2. Plug in the value of x: y = 7 + 6
3. 7 + 6 = 13
4. So, y = 13

I hope this helps!