A football team has played 20 games so far this season and has won 40% of them. If they want to have a winning season, how many of the remaining 10 games must they win?
*
a) 3
b) 4
c) 7
d) 6

To determine how many of the remaining 10 games the football team must win to have a winning season, we need to first understand what a "winning season" means. Typically, a winning season means winning more than half of the total games played.

### Step 1: Determine the number of games won so far
The team has played 20 games and won 40% of them:
\[
\text{Games won so far} = 0.40 \times 20 = 8
\]

### Step 2: Determine the total number of games for the season
The team has 10 games remaining, so the total number of games for the season will be:
\[
\text{Total games for the season} = 20 + 10 = 30
\]

### Step 3: Determine how many total wins are needed for a winning season
To have a winning season, the team must win more than half of the total games. Half of 30 games is:
\[
\frac{30}{2} = 15
\]
So, the team needs more than 15 wins to have a winning season, meaning they need at least 16 wins.

### Step 4: Calculate how many more wins are needed
The team already has 8 wins, so they need:
\[
16 - 8 = 8
\]
They need to win 8 more games to have a winning season.

### Step 5: Determine how many of the remaining 10 games must be won
Since the team needs 8 more wins, they must win 8 out of the remaining 10 games.

Thus, the answer is **(c) 7** is incorrect because they must win **8 games**, thus

A football team has played 20 games so far this season and has won 40% of them. If they want to have a winning season, how many of the remaining 10 games must they win? a) 3 b) 4 c) 7 d) 6

A football team has played 20 games and won 40%. With 10 games remaining, they need to win 8 more games for a winning season. Learn how to calculate how many games must be won to achieve a winning season, using percentages and basic algebra. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation