Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2013 Grade 6 Algebra
Problem
1) In 3 more years, Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is 68. How old is Miguel now?

2) If 2 apples weigh as much as 3 apricots, and 2 apricots weigh as much as 50 grapes, how many apples weigh as much as 300 grapes?

3) An art teacher plans to teach her class a new drawing technique. She needs one sheet of paper for herself for demonstration purposes, and two sheets of practice paper per student. Complete the table for 20 students, 25 students, and write an expression for s students that represents this situation. Include all 3 answers on your answer sheet.

Problem
4) Nayeli wants to buy a new stereo. The new stereo cost $375.50. Currently, Nayeli has $15.33 in her savings account. If she saves $12.50 each month, how many months will it take Nayeli to save enough money to pay for her stereo?

5) Solve 8 - 3x = 5 for x and then use this to solve for n in the equation
    8 - 3(4.2-n) = 5.