1. **State the problem:** A teacher gave each student 4 purple cards and 3 white cards. The total number of cards given out is 91. We need to find: a. The number of students in the class. b. The total number of purple cards given out. c. The total number of white cards given out. 2. **Set up the equation:** Let $x$ be the number of students. Each student gets 4 purple cards and 3 white cards, so total cards per student = $4 + 3 = 7$. 3. **Write the total cards equation:** $$7x = 91$$ 4. **Solve for $x$:** Divide both sides by 7: $$x = \frac{91}{7} = 13$$ So, there are 13 students in the class. 5. **Calculate purple cards given out:** Each student gets 4 purple cards, so total purple cards: $$4 \times 13 = 52$$ 6. **Calculate white cards given out:** Each student gets 3 white cards, so total white cards: $$3 \times 13 = 39$$ **Final answers:** - Number of students: 13 - Purple cards given out: 52 - White cards given out: 39