On Friday, a snowboard originally priced at $\$100$ was discounted $50\%$. On Monday, that sale price was reduced by $30\%$. In dollars, what is the price of the snowboard after the Monday reduction?
I want to find the final price of the snowboard after both discounts. To do that, I need to apply each discount to the previous price, starting from the original price. The first discount is $50\%$ off $\$100$, which means I pay half of $\$100$, or $\$50$. The second discount is $30\%$ off $\$50$, which means I pay $70\%$ of $\$50$, or $\$35$. So the final price of the snowboard is $\$35$. 