Question

If the Connecticut Sun basketball team has 20 more victories than losses and the number of victories is 4 less than 5 times the number of losses, how many games did the team win?

a. 24
b. 28
c. 32
d. 36

Answer 1

Solving the algebraic expressions from the problem, it is determined that the Connecticut Sun basketball team won 26 games. However, this number is not an option provided in the question, indicating a possible typo.

Step-by-step explanation:

To solve this problem, let's use algebra to set up an equation based on the information given. We know the Connecticut Sun basketball team has 20 more victories than losses, and the number of victories is 4 less than 5 times the number of losses. Let's define the number of losses as L, and the number of victories as V.

From the first part of the information, we have:

• V = L + 20

From the second part, we have:

• V = 5L - 4

Since both expressions are equal to V, we can set them equal to each other:

• L + 20 = 5L - 4

Perform the following steps to solve for L:

1. Subtract L from both sides: 20 = 4L - 4
2. Add 4 to both sides: 24 = 4L
3. Divide both sides by 4: 6 = L

Now that we know the number of losses is 6, we can find the number of victories using either of the two equations provided:

• V = L + 20 = 6 + 20 = 26

So the team won 26 games, which is not an option provided in the question, suggesting there might be a typo either in the answer choices or in the transcription of the problem.