Aunt Georgia needs to buy a 15-16 lb bag of cat food, or four smaller bags that are 4 lbseach. She has $35.53 on a Pet Supplies Plus gift card. Which bag (or bags) can she buy for this amount, after the sale price and 6.5% sales tax? Select all that apply.
To find out which bag(s) Aunt Georgia can buy for the given amount, we need to calculate the total cost of each option (taking into account the sale price and sales tax) and then compare it to the amount on her gift card.
Option 1: 15-16 lb bag of cat food
The sale price of the bag is not given, so we can't calculate the exact cost. Let's assume the regular price is $X. We need to add 6.5% of X as sales tax to get the total cost:
Total cost = X + 6.5% of X
= X + (0.065 * X)
= X * (1 + 0.065)
= X * 1.065
Since we don't know the sale price of the 15-16 lb bag, we can't calculate the total cost.
Option 2: Four bags of 4 lbs each
Each bag costs $Y (sale price is not given, so we can't calculate the exact cost). Again, we need to add 6.5% of Y as sales tax to get the total cost of one bag:
Total cost of one bag = Y + 6.5% of Y
= Y + (0.065 * Y)
= Y * (1 + 0.065)
= Y * 1.065
To calculate the total cost of all four bags, we multiply the cost of one bag by four:
Total cost of four bags = 4 * (Y * 1.065)
= 4 * Y * 1.065
= 4.26 * Y
We need to compare the total cost of four bags to the amount on her gift card ($35.53) to see if she can afford it:
4.26 * Y <= $35.53
After comparing the total cost of four bags to the amount on her gift card, we can determine if Aunt Georgia can buy this option or not. Unfortunately, without knowing the sale prices of both options, we cannot provide a definitive answer.
Let's calculate the total cost of buying a 15-16 lb bag of cat food and four smaller bags.
For a 15-16 lb bag of cat food:
- The original price and sale price are not given, so we cannot calculate the discount.
- Let's assume the sales tax of 6.5% is applied after the sale price.
For four smaller bags that are 4 lbs each:
- Each bag costs $4.
- The total cost of four bags is 4 * 4 = $16.
- The sales tax of 6.5% is applied to the total cost of $16.
Now, let's calculate the final cost of each option and check if Aunt Georgia can afford them with her gift card balance of $35.53:
1. 15-16 lb bag:
- Total cost = Original price - discount + sales tax
- Let's assume the original price is $x.
- The discount is not given, so we cannot calculate it.
- Sales tax = 6.5% * (Original price - discount)
- Final cost = Original price - discount + sales tax
- The final cost should be less than or equal to $35.53 to be affordable with the gift card balance.
2. Four smaller bags:
- Total cost = Total cost of four bags + sales tax
- Total cost of four bags = $16
- Sales tax = 6.5% * Total cost of four bags
- Final cost = Total cost of four bags + sales tax
- The final cost should be less than or equal to $35.53 to be affordable with the gift card balance.
By comparing the final costs, we can determine which option Aunt Georgia can afford. Unfortunately, we cannot make a final determination without knowing the original price or discount for the 15-16 lb bag of cat food.
A 15-16 lb bag of cat food
Four 4 lb bags of cat food