# Royal Teams

## Solution

Royals, 90%

Knights, 45%

Dukes, 40%

Crowns, 35%

Bishops, 25%

## Explanation

### Step 1

Make a chart to record the information.

Team | Points | Fraction | Percent |
---|---|---|---|

Royals | |||

Knights | |||

Dukes | |||

Crowns | |||

Bishops |

### Step 2

Use the clues to find the number of points scored by each team.

- Given: The Royals scored 54 of the possible 60 points.
- The Knights scored 27 points, half as many points as the Royals

(54 ÷ 2 = 27). - The Bishops scored 15 points, 12 fewer points than the Knights

(27 − 12 = 15). - The Crowns scored 35% of the possible 60 points.

(Since the final question asks about percent, which is given, you don't need to find the number of points scored by the Crowns, but you would find that by multiplying 0.35 by 60; the Crowns scored 21 points.) - The Dukes earned of the possible points.

(It is not necessary to find the number of points to solve the problem. If you wish to know the number of points the Dukes scored, multiply by 60; x 60 = 24.)

### Step 3

To express each team's score as a percent, first express the score as a fraction. The numerator is the team's score. The denominator is the total number of possible points.

- Royals: =
- Knights: =
- Bishops: =
- Dukes: (given as a clue)
- Crowns: = (not needed to answer the question)

### Step 4

Write an equivalent ratio with a denominator of 100. Express that ratio as a percent.

**Royals**: = = = 90%**Knights**: = = = 45%**Bishops**: = = = 25%**Dukes**= = 40%**Crowns**35% (given)

### Step 5

List the teams from first place to fifth place with the highest percent first.

**Royals**, 90%**Knights**, 45%**Dukes**, 40%**Crowns**, 35%**Bishops**, 25%

Team | Points | Fraction | Equivalent ratio with denominator of 100 | Percent |
---|---|---|---|---|

Royals | 54 | = | 90100 |
90% |

Knights | 27 | = | 45100 |
45% |

Dukes | 24 | = | 40100 |
40% |

Crowns | 21 | = | 35100 |
35% |

Bishops | 15 | = | 25100 |
25% |