1. One hundred toys are to be given out to children. A ball costs $12, a doll costs $13, and a car costs $20. A total of $1,300 was spent. (16 pts) a. Translate the problem into 2 linear equations in 3 variables. b. Find all solutions using RREF. c. Give the solution that has the smallest number of balls as a vector. d. Give the solution that has the largest number of cars as a vector