Tyler is bored in history class, so he is staring at the ceiling tiles. He notices that some tiles are perfect squares, while others are long rectangles. He also notices that some of the tiles are bright white, while others are off-white. He makes detailed notes on how often each of these tiles occurs.
Tragically, Tyler crumpled up his notes when the teacher looked in his direction, and now he can't read all the numbers. The absolute and relative frequency tables below show the numbers that Tyler is able to read. Can you help him figure out the rest?
**Fill in the missing values from each table.**
|Square | Rectangle| Row total
- | - | -
**Bright white** |$25$ |$10$|$35$
**Off-white** | [[☃ math-keypad 1]]|$10$ | [[☃ math-keypad 2]]
**Column total** | [[☃ math-keypad 3]] | $20$|[[☃ math-keypad 4]]
| | Square| Rectangle| Row total
- | - | -
**Bright white** | $\begin{align} &\text{Row %} \\ &\text{Column %} \\ &\text{Total %} \end{align}$ | $\begin{align} &\text{71.43} \\ &\text{52.08} \\ &\text{36.76} \end{align}$ | $\begin{align} &\text{28.57} \\ &\text{50.00} \\ &\text{14.71} \end{align}$ | $\begin{align} &\text{100} \\ &\text{------} \\ &\text{51.47} \end{align}$
**Off-white** | $\begin{align} &\text{Row %} \\ &\text{Column %} \\ &\text{Total %} \end{align}$ |$\begin{align} &\text{69.70} \\ &\text{47.92} \\ &\text{33.83} \end{align}$ | $\begin{align} &\text{30.30} \\ &\text{50.00} \\ &\text{14.71} \end{align}$| $\begin{align} &\text{100} \\ &\text{-----} \\ &\text{48.53} \end{align}$
**Column total** | $\begin{align} & \text{Row %}\\&\text{Column %}\\&\text{Total %}\end{align}$ | $\begin{align} &\text{-----} \\ &\text{100} \\ &\large \text{$x$} \end{align}$ | $\begin{align} &\text{-----} \\ &\text{100} \\ &{\text{29.41}} \end{align}$| $\begin{align} &\text{100} \\ &\text{100} \\ &\text{100} \end{align}$
$x= $ [[☃ math-keypad 5]]