a) Cost of a toy car = $c
The amount of money initially owned by Stan = $3
The number of toy cars purchased by Stan = 3
The amount of money initially owned by Frank = $6
The number of toy cars purchased by Frank = 8
If the cost of 1 toy car is $c:
Cost of 3 toy cars = 3c
Cost of 8 toy cars = 8c
Money owned by Stan after his purchase = 3 - 3c
Money owned by Frank after his purchase = 6 - 8c
Stan had more money than frank. This can be interpreted mathematically, in terms of inequalities, as:
3 - 3c > 6 - 8c
The above is the inequality that corresponds to the given information
b) The given inequality is:
3x + 2 < 2x + 10
Real world problem:
Playing a ludo game at a funfare costs $x. The management says the entry fee for the funfare in December is $2 while in any other month of the year, the entry fee is $10. James, who visited the funfare in December, played 3 rounds of ludo games, while John, who visited the funfare in September, played 2 rounds of ludo games . The total money paid by John is less than the money paid by James.
