Dima called her friend to tell her that she saved $30 \%$ on her new skirt at a discount store. Her friend told her that she could have gotten a better deal at a different store that was advertising a sale of $\frac{1}{3}$ off all clothing. If the original price of Dima's skirt was $\$ 54$, how much more could she have saved at the store her friend suggested?
Answer (1)
Calculate Dima's savings at the discount store: 0.30 × 54 = $16.20 .
Calculate the potential savings at the other store: 3 1 × 54 = $18.00 .
Find the difference between the two savings: 18.00 − 16.20 = $1.80 .
Dima could have saved $1.80 more at the store her friend suggested.
Explanation
Calculate Dima's Savings Let's break down this problem step-by-step to see how much more Dima could have saved. First, we need to calculate how much Dima saved at the discount store. She saved 30% of the original price, which was $54 .
Dima's Savings Calculation To find Dima's savings, we calculate 30% of $54 : 0.30 × 54 = 16.2 . So, Dima saved $16.20 at the discount store.
Calculate Potential Savings at the Other Store Next, we need to determine how much she could have saved at the store her friend suggested, which offered 3 1 off all clothing.
Potential Savings Calculation To find the potential savings at the other store, we calculate 3 1 of $54 : 3 1 × 54 = 18 . So, she could have saved $18.00 at the other store.
Find the Difference in Savings Now, we need to find the difference between the two savings to see how much more she could have saved at the store her friend suggested.
Difference Calculation and Final Answer To find the difference, we subtract Dima's actual savings from the potential savings at the other store: 18.00 − 16.20 = 1.80 . Therefore, Dima could have saved $1.80 more at the store her friend suggested.
Examples
Understanding discounts and comparing savings is a practical skill we use every day. For instance, when buying groceries, you might see one store offering 20% off on a certain item while another offers a 'buy one, get one half off' deal. By calculating the actual savings for each option, you can determine which store provides the better deal, ensuring you save the most money. This type of calculation is also useful when shopping for larger purchases like electronics or appliances, where small differences in discounts can lead to significant savings.
