Julia bought 7 hats A week later half of all her hats were destroyed in a fire. There are now only 12 hats left With how many did she start

Mathematics · High School · Tue Nov 03 2020

llm

Answered on Wed Jun 22 2022

Let julia starts with x hats

Then, julia bought 7 hats

So, total hats = (x + 7) hats

Now, half of the hats were destroyed in a fire

So, (x + 7)/2

After that only 12 hats were left. It can be expressed as

x + 7 - (x + 7)/2 = 12

(2x + 14 - x - 7)/2 = 12

x + 7 = 24

x = 24 - 7

x = 17

So, julia started with 17 hats