Please answer all 8 questions and show work, thank you.
1. A square classroom has 10 square yards more than 5 times the area of the hallway outside it. The classroom and hallway have a combined area that’s 50 square yards less than 10 times the area of the hallway. Find the length of each side of the classroom.
2. The area of a magenta circle is 100 square meters more than four times the area of a yellow circle. If the magenta circle has an area of 1,500 square meters, what is the radius of the yellow circle?
3. A cubed-shaped box has a volume of 343 cu. ft. What is the surface area of the box?
4. Ace and Charles are salesmen. If Ace had made another $20 in sales, he would have sold three times as much as Charles. Combined, they sold $80 less than 7 times Charles’s sales. How much money did Ace sell?
5. Maria, Dawn, and Hina painted a fence for a total of $480. Since they spent different amounts of time painting, they divided this total in the ratio 3:5:8 (Dawn, Maria, Hina.) How much more did Maria earn than Dawn?
6. 10 years ago, Charlotte was 40 years old, while Mark was 14 years old. When will Charlotte be 8 years more than twice Mark’s age?
7. Rewrite the volume of a cone’s formula to solve for the radius, then solve for the radius when the volume is 300in cubed and the height is 4in.
8. The area of a pink square is 20 square yards more than one-third the area of a purple square. If the pink square has an area of 300 square yards, what is the length of each side of the purple square?
Thank you so much to anyone who helps.