Question

Cody was 165\,\text{cm}165cm tall on the first day of school this year, which was 10\%10% taller than he was on the first day of school last year. How tall was Cody on the first day of school last year?

Answer 1

165 cm.

Explanation:

Let h be the height of Cody on the first day of school last year.

We have been given that Cody was 165 cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.

To find the height of Cody on the first day of school last year, we need to find h such that h plus 10% of h equals 165. We can represent this information in an equation as:

`h+10\%\text{ of }h=165`

`h+((10)/(100)*h)=165`

`h+0.10*h=165`

`1.10*h=165`

Let us divide both sides of our equation by 1.10.

`(1.10*h)/(1.10)=(165)/(1.10)`

`h=150`

Therefore, Cody was 150 cm tall on the first day of school last year.