Subjects algebra

Word Problems 1C07C3

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **Problem:** Mahi, Lara, and Maivi participated in a quiz contest. Mahi and Lara scored 45 and 18 points respectively. Find how many points Maivi scored. 2. **Write an equation:** Let Maivi's score be $x$. The total points scored by Mahi, Lara, and Maivi is $45 + 18 + x$. 3. Since the total points are not given explicitly, we assume the problem asks for Maivi's score given Mahi and Lara's scores and total points 45 (likely a typo, so we interpret as total points scored by Mahi and Lara is 45, Lara scored 18, find Maivi's score). So: $$45 = 18 + x$$ 4. **Solve the equation:** $$x = 45 - 18$$ $$x = 27$$ 5. **Answer:** Maivi scored 27 points. 1. **Problem:** Zoo nurses 45 species of big cats. After sponsoring some species to other zoos, only 31 species remain. Find how many species were sponsored. 2. **Write an equation:** Let the number of species sponsored be $x$. $$45 - x = 31$$ 3. **Solve the equation:** $$\cancel{45} - x = \cancel{31}$$ $$x = 45 - 31$$ $$x = 14$$ 4. **Answer:** 14 species were sponsored. 1. **Problem:** Daniel bought some boxes of Oreo cookies, each box has 10 Oreos. After children ate 6 Oreos, 54 Oreos remain. Find how many boxes Daniel bought. 2. **Write an equation:** Let the number of boxes be $x$. Total Oreos initially: $10x$ Oreos left after eating 6: $10x - 6 = 54$ 3. **Solve the equation:** $$10x - 6 = 54$$ Add 6 to both sides: $$10x - \cancel{6} + \cancel{6} = 54 + 6$$ $$10x = 60$$ Divide both sides by 10: $$\frac{10x}{\cancel{10}} = \frac{60}{\cancel{10}}$$ $$x = 6$$ 4. **Answer:** Daniel bought 6 boxes of Oreos.