The cashier tells Yuric that his current balance is $168.32 and if he would like to add that jacket, his new balance would only be $194.98. Yuric is confused because the price tag on that jacket seems higher than what the new total indicates.
This situation is modeled by the equation, $168.32+j=194.98$. Yuric looks at the price tag on the jacket and considers taxes. He figures the total price of the jacket should be $38.76. Based on the equation, is $38.76 the correct price of the jacket?
Yes
No
Answer (1)
Set up the equation: 168.32 + j = 194.98 .
Solve for j by subtracting 168.32 from both sides: j = 194.98 − 168.32 .
Calculate the value of j : j = 26.66 .
Compare the calculated price $26.66 with the given price $38.76 and conclude that $38.76 is not the correct price. The answer is N o .
Explanation
Understanding the Problem We are given the equation 168.32 + j = 194.98 , where j represents the price of the jacket. We need to determine if j = 38.76 .
Isolating the Variable To find the actual price of the jacket based on the given equation, we need to solve for j . We can do this by subtracting 168.32 from both sides of the equation: 168.32 + j − 168.32 = 194.98 − 168.32
Calculating the Jacket Price Performing the subtraction, we find: j = 194.98 − 168.32 = 26.66
Comparing the Prices Now we compare the calculated price of the jacket, which is $26.66 , with the price Yuric believes it should be, which is $38.76 . Since 26.66 e q 38.76 , the price Yuric believes is incorrect.
Final Answer Therefore, based on the equation, $38.76 is not the correct price of the jacket.
Examples
Imagine you're at a store and want to keep track of your spending. If you know your initial balance and your final balance after buying an item, you can use a simple equation to calculate the price of the item. For example, if your initial bank balance is $50 and after buying a book, your balance is $35 , you can calculate the price of the book using the equation 50 − p r i ce = 35 . Solving for the price gives you p r i ce = 50 − 35 = $15 . This helps you manage your finances and ensure you're not overcharged.
