Question

Sophie's birthday party will cost $940 if she invites 20 guests. How many guests can there be, at most, if Sophie can afford to spend a total of $3,102 on her birthday party? Assume the relationship is directly proportional.

Answer 1

66 guests

Explanation:

I would use ratio to solve this problem:

20: £940

To get 20 to one we need to divide both sides by 20:

1: £47

This means that 1 guest costs £47.

Now we need to work out how many £47 there are in £3102.

£3102 ÷ £47 = 66

This means that the maximum number of guests sophie can have at her party is 66 guests.

Hope this helps.