A shirt is on sale for \( 60 \% \) off. If the sale price is \( \$ 16 \), what was the original price? (Make a table if it helps you.)
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The Deep Dive
To find the original price of the shirt, you can set up the problem using percentages. Let the original price be \( x \). Since the shirt is on sale for 60% off, that means you're paying 40% of the original price. Thus, we can write the equation: \[ 0.4x = 16 \] To find \( x \), divide both sides by 0.4: \[ x = \frac{16}{0.4} = 40 \] So, the original price of the shirt was \( \$ 40 \). Now, here's a fun way to visualize it in a table: | Original Price (x) | Discount (%) | Sale Price | |---------------------|--------------|------------| | \( 40 \) | \( 60\% \) | \( 16 \) | | | | | | | | | Now you can clearly see how the original price relates to the discount and sale price!
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