The Next 3 of AMC 12: Explained

Problem Source: AMC 12

Problem Level 3~4

Problem 4:

A store normally sells windows at $100 each. This week the store is offering one free window for each purchase of four. Dave needs seven windows and Doug needs eight windows. How much will they save if they purchase the windows together rather than separately? 

Problem 5:

The average (mean) of 20 numbers is 30, and the average of 30 other numbers is 20. What is the average of all 50 numbers?

Problem 6:

Josh and Mike live 13 miles apart. Yesterday, Josh started to ride his bicycle toward Mike's house. A little later Mike started to ride his bicycle toward Josh's house. When they met, Josh had ridden for twice the length of time as Mike and at four-fifths of Mike's rate. How many miles had Mike ridden when they met?

Solutions:

The First Three Problems of AMC 12: Explained

Problem Level: 3~4
Problem Source: American Math Competitions 12


Problem 1:
Two is 10% of x and 20% of y . What is x-y?


Problem 2:
The equations 2x+7=3 and bx-10=-2  have the same solution. What is the value of b?


Problem 3:
A rectangle with diagonal length x is twice as long as it is wide. What is the area of the rectangle in terms of x?


(answers)