Most courses offered at a local university worth either 4 or 5 credit hours. The members of the women's basketball team are taking a total of 49 courses that are worth a total of 207 credit hours. How many 4-credit courses and how many 5-credit courses are being taken? The team members are taking... 4-credit hour courses 5-credit hour courses.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![**Course Credit Hours Problem**
In this example, we will explore a common type of algebra problem involving course credit hours. Here is the problem statement:
Most courses offered at a local university are worth either 4 or 5 credit hours. The members of the women's basketball team are taking a total of 49 courses that are worth a total of 207 credit hours. How many 4-credit courses and how many 5-credit courses are being taken?
Below the problem statement, two checkboxes are provided for user interaction:
- [ ] 4-credit hour courses
- [ ] 5-credit hour courses
To solve this problem, we can set up a system of equations. Let's define:
- \( x \) as the number of 4-credit hour courses.
- \( y \) as the number of 5-credit hour courses.
We are given two pieces of information:
1. The total number of courses taken: \( x + y = 49 \)
2. The total number of credit hours: \( 4x + 5y = 207 \)
We can solve this system of equations simultaneously to find the values of \( x \) and \( y \), representing the number of 4-credit and 5-credit courses taken by the team members, respectively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca56257f-8e6a-4604-b848-c9106a464bf6%2Fb6e085fa-c772-4cdf-9b92-665446789404%2Fd5oeht_processed.jpeg&w=3840&q=75)
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