(Originais Teachy 2023) - Question Medium of Mathematics

At a charity event at their school, the students decided to sell t-shirts and caps to raise funds. The price of each t-shirt is R$10.00 and the price of each cap is R$7.00. Two buying lines were formed, with the first line raising a total of R$112.00 with 15 items sold and the second line raising a total of R$87.00 with 10 items sold. a) Considering the t-shirt values as 'c' and the cap values as 'b', write two 1st degree equations with two unknowns that represent the situation. b) Solve the system of equations using the method of your choice and find the quantity of t-shirts and caps sold in each line. c) Make a graphical representation of the system of equations using the Cartesian plane and identify the intersection point of the lines.