Jamal has already $39 with him, so he needs another $195.10 ( $234.10 - $39) to buy the Playstation.

 

Jamal can save $4 every week.  Since his aunt will contribute $3 for every $ saved by Jamal, she would contribute $12 every week. Thus Jamal would have $16 with him every week.  Thus starting with Saturday the 1st April, there would be 4 weeks in April and 4 weeks in May and 4 weeks in June, which will make up a total of 12 weeks and the amount raised would be 12x16 = $192,

 

This 12 week period(84 days) would be completed on Friday, the 23 rd June ( 30 days of April, 31 days of May and 23 days of June).   Next day he would save another $4  raising the total amount  to $196, which would be enough to buy the Playstation on Saturday the 24th June.

If J is amount in $ saved by Jamal every week and A is the amount in $ contributed by his aunt and T is the number of weeks to make up $192, then

                                 A = 3J

 

                               [A+J] T= 192

 

                                   4JT=  192

 

Since  J=4 ,    T=12 weeks

                                                ***