Question

Your bedroom ceiling is 10 feet high and is 2/3 as high as the living room ceiling. Write and solve and solve an equation to find the height h of th living room ceiling

Answer 1

h=10+(10 1/3) is a correct equation. The answer should be h=13.33

Answer 2

$\text{Let the height of the living room ceiling is h feet.}\\ \\ \text{Given that the bedroom ceiling is 10 feet high and this height is }\frac{2}{3}\\ \text{as high as the living room ceiling.}\\ \\ \text{So the equation that represents this situation can be set as:}\\ \\ \frac{2}{3}\ \text{of the height of the living room = Height of ceiling of bedroom}$

$\Rightarrow \frac{2}{3}(h)=10\\ \\ \Rightarrow \frac{2h}{3}=10\\ \\ \text{now to solve it, first we multiply both sides by 3. so we get}\\ \\ 2h=30\\ \\ \text{now divide both sides by 2 to get}\\ \\ h=15$

Hence the height of the living room ceiling is: 15 feet