Question

Carlos is playing basketball this season. He is trying to average 25 points per game. He has scored 27, 18, 24, 32, 15, and 27 points in the previous 6 games. What equation can help you find the score for the last game that will give Carlos an average of 25 points?

27+18+24+32+15+17+s/7 = 25
143s/7 = 25
27+18+24+32+15+27/7 + s = 25
27+18+24+32+15+27+s/7 = 25

Answer 1

To find the score Carlos needs in his last game to average 25 points per game after 7 games, we first need to calculate his total score for the 6 games he has already played. The scores are as follows:

- Game 1: 27 points
- Game 2: 18 points
- Game 3: 24 points
- Game 4: 32 points
- Game 5: 15 points
- Game 6: 27 points

Now, let's sum these scores:

\[
27 + 18 + 24 + 32 + 15 + 27 = 143
\]

Carlos needs to play one more game, which we'll call \( s \) (the score in the last game). To find \( s \) so that he averages 25 points over 7 games, we can use the equation for average:

\[
\frac{\text{Total points scored}}{\text{Number of games}} = \text{Desired average}
\]

This translates to:

\[
\frac{143 + s}{7} = 25
\]

To isolate \( s \), we can multiply both sides of the equation by 7:

\[
143 + s = 25 \times 7
\]

Calculating \( 25 \times 7 \) gives us:

\[
143 + s = 175
\]

Now, subtract 143 from both sides to find \( s \):

\[
s = 175 - 143
\]
\[
s = 32
\]

So, Carlos needs to score **32 points** in his last game to average 25 points per game.

From the options listed in your question, the correct equation that helps find the score \( s \) is:

\[
\frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25
\]

The equivalent correct version of this from your choices is:

\[
27 + 18 + 24 + 32 + 15 + 27 + s / 7 = 25,
\]

but ensure the parentheses are correctly positioned to reflect the total points divided by 7.