Question

The table shows a darts club's income in 2017 from a raffle, a quiz and membership fees. Raffle =£350 Quiz=Entry fees =14 at £4 each Refreshments=£44 Membership fees=20 at £20 each. Express as a ratio the income from the raffle to the income from the quiz to the income from membership fees. Give your ratio in its simplest form

Answer 1

A ratio the income from the raffle to the income from the quiz to the income from membership fees is 7:2:8.

Explanation:

Given : The table shows a darts club's income in 2017 from a raffle, a quiz and membership fees.

To find : Express as a ratio the income from the raffle to the income from the quiz to the income from membership fees ?

Solution :

The raffle amount is £350.

Quiz, entry fees is 14 at £4 each and refreshment is £44.

The quiz amount is £
`14* 4`+£44=£56+£44=£100

Membership fees=20 at £20 each.

The membership amount is £
`20* 20`=£400

Now, the ratio of income from the raffle to the income from the quiz to the income from membership fees is

The ratio of raffle : quiz : membership

`R= 350:100:400\\\\R= 35:10:40\\\\R=7:2:8`

Therefore, a ratio the income from the raffle to the income from the quiz to the income from membership fees is 7:2:8.

Answer 2

7:2:8.

Explanation:

The income form the raffle = £350

Income from the quiz = 14*4 = £56 + £44 = £100

Income from membership fees = 20*20 = £400.

The ratio of raffle : quiz : fees

= 350:100:400

Dividing each number by 50:

= 7:2:8 in simplest form.