Problem 16
Question
After a \(30 \%\) reduction, you purchase a dictionary for \(\$ 30.80 .\) What was the dictionary's price before the reduction?
Step-by-Step Solution
Verified Answer
Thus, the dictionary's original price before the reduction was approximately $44.00.
1Step 1: Understand the Problem
Initially we need to comprehend that the new price, $30.80, is 70% of the original price, because the dictionary has been reduced by 30%.
2Step 2: Formulate the equation
Set up the equation that represents the price reduction. Denote the original price by \(x\). Thus, the equation can be represented as: \(0.70x = 30.80\).
3Step 3: Solve for 'x'
To find the original price 'x', divide both sides of the equation by 0.70. Thus, the original price of the item is \(x = 30.80 / 0.70\).
Other exercises in this chapter
Problem 16
Solve each radical equation in Exercises 11–30. Check all proposed solutions. $$\sqrt{6 x+1}=x-1$$
View solution Problem 16
Solve equation by the square root property. $$ 5 x^{2}=45 $$
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Solve and check each linear equation. $$\begin{aligned}&45-[4-2 y-4(y+7)]=\\\&-4(1+3 y)-[4-3(y+2)-2(2 y-5)]\end{aligned}$$
View solution Problem 16
Find each product and write the result in standard form. $$ (2+7 i)(2-7 i) $$
View solution