Rika works in the perfume department at hoover’s department store. she is giving away samples of a new fragrance and a new scented hand lotion to customers that pass by her station. she is required to hand out a total of 114 samples during her shift. she has already handed out 36 samples, which represents 1/3 of the number of fragrance samples and 1/4 of the number of hand lotion samples that she must hand out.

write a system of equations for this problem situation. let x represent the number of fragrance samples, and let y represent the number of hand lotion samples.