Suppose you have a 100 AED of coupons at Dubai Expo 2020. You spend 30 AED per game. Write an equation that models the total amount of money y you spent if you play x games.

The total amount of money y you spent if you play x games is expressed as y = 1/30x

Given the following

Total amount of AED of coupons at Dubai Expo 2020 = 100 AED

If you spend 30 AED per game, this can be expressed as:

30 AED = 1 game

100 AED = x game

Cross multiply

30 x = 100 * 1

30x = 100

x = 100/30

x = 10/3 games

This shows that 100 AED of coupons is used for 10/3 games

100 AED = 10/3 games

y AED = x games

Cross multiply

100 x = 10/3 y

100xy = 10/3

10 xy = 1/3

30xy = 1

y = 1/30x

Hence the total amount of money y you spent if you play x games is expressed as y = 1/30x

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