superstarshayna

# An aquarium is on sale for \$59.50. If this price represents a 15% discount from the original price, what is the original price to the nearest cent?

Look at it like this: $x - \frac{15}{100} x = 59.5$ ^ Where x is the original price. Shows that the original price - 15% is £59.50  Okay, so now we solve the equation: 1. Rationalise the 59.5 to turn it into a fraction - fractions are easier to use than decimals $x - \frac{15}{100} x = \frac{119}{2}$ 2. Combine the two fractions of the left side $\frac{17x}{20} = \frac{119}{2}$ 3. Multiply by the lowest common denominator (20) $17x = 1190$ 4. Divide by 17 on both sides $x = 70$ You can check by working out 15% of 70 which is £10.50, take that away from £70 and its £59.50 Hope that helped and ask questions if need be! x