There are 100 toys to be given out to a group of children. A ball costs $2, a doll costs $3, and a car costs $4. A total of $292 was spent on the...

There are 100 toys to be given out to a group of children. A ball costs ​$2, a doll costs and a car costs $4. A total of ​$292 was spent on the toys.

A ball weighs 12 ​oz, a doll 15 ​oz, and a car 16 oz. The total weight of all the toys is Determine the number of each type of toy purchased.