# 3 part ratio and dividing up amounts

Ratios are used to divide a large amount up. The best way to tackle these are

Work out 1 part

by adding all the ratios

**Example 1**

If `$6.00` is divided between three people in the ratio Karen 4: Alice 5: Brenda 6 what do they each get?

So the ratio is `4:5:6`

Add the ratio `=4+5+6=15` parts in all

Now work out `1` part

(see our section on percentages for full explanation)

`15` parts `=$6.00`

`1` part `=x`

Now put the divide sign in

`15/1=($6.00)/x`

Rearrange

`x=($6.00times1)/15`

`x=$0.40`

Therefore

Karen 4 | `=4times$0.40=` | `$1.60` |

Alice 5 | `=5times$0.40=` | `$2.00` |

Brenda 6 | `=6times$0.40=` | `$2.40` |

Total | `$6.00` |

**Example 2**

The ratio of adults to children in a school bingo is 4 to 1. The ratio of adults to pensioners is 4 to 3. If there are 96 people in total how many people are there of each group?

So the ratio is `=4` Adults to every `1` child to every `3` pensioners

`4:1:3`

Add the ratio `=4+1+3=8` parts

Now work out `1` part

(see our section on percentages for full explanation)

`8` parts `=96` people

`1` part `=x`

Now put the divide sign in

`8/1=96/x`

Rearrange

`x=(96times1)/8`

`x=12`

Therefore

Adults 4 | `=12times4=` | `48` |

Children 1 | `=12times1=` | `12` |

Pensioners 3 | `=12times3=` | `36` |

Total | `96` |