Answer the following problems (You may use any strategy). Show your solution (If it is a guess, then checking that guess is your solution).

1. In a certain subdivision, houses are numbered 1 to 500. Houses who have a 7 in their house number will receive a prize. How many houses will receive a prize?

2. In a motorcycle shop consisting of tricycles and bikes, the owner counted 156 handle bars and 364 wheels. How many tricycle and bikes are there?

3. Let "" be a binary operation.

If44=20,

55=30,

66=42

44=20,

55=30,

66=42,

what is99?

4. In a girls' race, 5 girls (Angeline, Anna, Carmela, Jessica, and Rhoda) took the five spots. Use the following clues to know the order on how the 5 girls finish the race:

(i) Jessica finished seven seconds before Carmela,

(ii) Angeline finished 6 seconds before Anna,

(iii) Rhoda finished 8 seconds before Anna,

(iv) Carmela finished 2 seconds before Angeline.

5. Mark's orange juice shop earned $60 on the first day of the week, $65 on the second day and 70$ on the third day. If this pattern continues, how much will her earn after a week?