Yuric then notices the jacket was on the sales rack, which is why there is a difference in the price he thinks it should be. Next to the jacket is a sweater Yuric really wants. Yuric decides to add a sweater along with the jacket to his purchases. His new total is now $221.91. He ponders how much he has spent on the sale items.
Solve the equation $168.32 + n = $221.91 to determine the cost of the jacket and sweater Yuric chose from the sale rack.
Answer (1)
Subtract $168.32 from both sides of the equation $168.32 + n = $221.91.
Calculate the difference: n = 221.91 − 168.32 .
Find the value of n : n = 53.59 .
The cost of the sweater is $53.59 .
Explanation
Understanding the Problem We are given the equation $168.32 + n = $221.91, which represents the total cost of a jacket and a sweater. We need to find the value of n , which represents the cost of the sweater.
Isolating the Variable To solve for n , we need to isolate n on one side of the equation. We can do this by subtracting $168.32 from both sides of the equation: 168.32 + n − 168.32 = 221.91 − 168.32
Calculating the Value of n Now, we perform the subtraction: n = 221.91 − 168.32 n = 53.59
Final Answer Therefore, the cost of the sweater is $53.59.
Examples
Imagine you are at a store and want to buy a shirt and a pair of pants. The shirt costs $168.32, and your total bill is $221.91. To figure out how much the pants cost, you can use the same equation we solved. By subtracting the cost of the shirt from the total bill, you find the cost of the pants. This simple calculation helps you manage your budget and understand how much each item contributes to your total spending.
