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 Mr. and Mrs. Atoll are planning a party for 10 people and want to make sure they have enough soda for everyone to have two bottles. Which of the following makes the most economic sense?
Mr. and Mrs. Atoll are planning a party for 10 people and want to make sure they have enough soda for everyone to have two bottles. Which of the following makes the most economic sense?
Follow Mr. and Mrs. Atoll's quest for economic party perfection. Learn how they optimize soda quantity for 10 guests while keeping costs in check!
by Maivizhi A
Updated Mar 05, 2024
Mr. and Mrs. Atoll are planning a party for 10 people and want to make sure they have enough soda for everyone to have two bottles. Which of the following makes the most economic sense?
20 bottles of soda at $1.50 each
4 sixpacks of soda at $5.00 each
one case of 24 sodas at $18.50
two cases of 24 sodas at $18.50 each
Answer: "One case of 24 sodas at $18.50"
To determine the most economical option, let's compare the cost per bottle of soda for each option:

20 bottles of soda at $1.50 each:
Total cost = 20 * $1.50 = $30
Cost per bottle = $30 / 20 = $1.50 
4 sixpacks of soda at $5.00 each: Total cost = 4 * $5.00 = $20
Total bottles = 4 * 6 = 24 bottles
Cost per bottle = $20 / 24 ≈ $0.83 
One case of 24 sodas at $18.50: Total cost = $18.50
Total bottles = 24
Cost per bottle = $18.50 / 24 ≈ $0.77 
Two cases of 24 sodas at $18.50 each:
Total cost = 2 * $18.50 = $37
Total bottles = 2 * 24 = 48 bottles
Cost per bottle = $37 / 48 ≈ $0.77
Comparing the cost per bottle, the most economical option is the "One case of 24 sodas at $18.50", which costs approximately $0.77 per bottle. Therefore, it makes the most economic sense for Mr. and Mrs. Atoll to choose this option.
Real Life Applications of Word Problems
Word problems have numerous reallife applications across various fields. Here are some examples:

Finance and Economics: Word problems are used to calculate interest rates, investment returns, loan payments, and budgeting. For instance, figuring out how long it will take to pay off a loan given a certain interest rate and monthly payment.

Engineering: Engineers often use word problems to design structures, solve logistical issues, and optimize processes. This could involve calculating the loadbearing capacity of a bridge or determining the optimal route for a delivery truck.

Science: Scientists use word problems to analyze data, conduct experiments, and make predictions. For example, calculating the rate of chemical reactions or determining the trajectory of a projectile.

Healthcare: Word problems are used in healthcare to calculate medication dosages, interpret test results, and plan treatment regimens. For instance, determining the correct insulin dosage for a diabetic patient based on their blood sugar level.

Architecture and Construction: Architects and construction workers use word problems to plan building projects, estimate materials needed, and ensure structural integrity. This could involve calculating the volume of concrete needed for a foundation or determining the angles for roof trusses.

Education: Teachers use word problems to help students apply mathematical concepts to realworld scenarios, fostering critical thinking and problemsolving skills. These problems can range from simple arithmetic to complex algebraic equations.

Business and Management: Word problems are used in business to analyze sales data, forecast profits, and make strategic decisions. For example, determining the breakeven point for a new product or analyzing inventory levels.

Environmental Science: Environmental scientists use word problems to analyze data on pollution levels, population growth, and resource depletion. This could involve calculating carbon emissions from a factory or predicting the impact of deforestation on biodiversity.

Transportation and Logistics: Word problems are used in transportation and logistics to optimize routes, minimize costs, and ensure timely delivery. For instance, calculating the most fuelefficient route for a fleet of trucks or determining the optimal scheduling of public transportation.

Agriculture: Farmers use word problems to plan crop rotations, calculate fertilizer amounts, and estimate yields. For example, determining the amount of water needed to irrigate a field or calculating the costeffectiveness of switching to organic farming methods.
These examples demonstrate how word problems are integral to various aspects of daily life and professional fields, highlighting the importance of mathematical skills in solving realworld problems.
Mr. and Mrs. Atoll are planning a party for 10 people and want to make sure they have enough soda for everyone to have two bottles. Which of the following makes the most economic sense  FAQs
1. What is Mr. and Mrs. Atoll's dilemma regarding their party planning?
They need to ensure they have enough soda for 10 people, with each person having two bottles.
2. What options are available for Mr. and Mrs. Atoll to purchase soda?
They can choose from 20 individual bottles, 4 sixpacks, one case of 24 sodas, or two cases of 24 sodas.
3. How can Mr. and Mrs. Atoll determine the most economical option?
By calculating the cost per bottle for each option.
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