You need 24 sodas in total, but there are better deals, show your work. Option B: Buy a 24 pack for $20.10. Use the tape diagram to solve.
Understand the Problem
The question asks to determine the better deal between buying individual sodas to reach a total of 24, or buying a 24 pack of sodas for $20.10. We will need to determine how much one soda costs individually to compare it to a 24 pack.
Answer
Buying a 24 pack of sodas for $20.10 is a better deal, as buying them individually would cost $20.16.
Answer for screen readers
Buying a 24 pack of sodas is the better deal.
Steps to Solve
- Cost to buy 24 sodas individually
The image shows calculating the cost of a single soda is $20.10 divided by 24.
$$ \frac{20.10}{24} = 0.8375 $$
So, one soda costs $0.8375.
- Rounding up the cost
Since we are talking about money, we should express to two decimal points. $0.8375 per soda becomes $0.84.
- Buying individually vs buying the 24 pack
24 sodas purchased individually costs $0.84 each.
$$ 24 \times 0.84 = 20.16 $$
Buying 24 sodas individually costs $20.16, but buying the 24 pack costs $20.10
- The better deal
Since $20.10 is less than $20.16, it is better to buy the 24 pack.
Buying a 24 pack of sodas is the better deal.
More Information
The difference in price between the two options is $0.06.
Tips
- Forgetting to round after dividing, or not rounding to the nearest cent.
- Multiplying instead of dividing
- Incorrectly dividing
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