SOLUTION: 1. What number increased by 30% = 260? 2. What is 66 2/3% less than 45? 3. A price decreased from $25 to $10. Find the % of the decrease. 4. A price increased from $30 to $50.

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: 1. What number increased by 30% = 260? 2. What is 66 2/3% less than 45? 3. A price decreased from $25 to $10. Find the % of the decrease. 4. A price increased from $30 to $50.      Log On


   

Question 30032: 1. What number increased by 30% = 260?
2. What is 66 2/3% less than 45?
3. A price decreased from $25 to $10. Find the % of the decrease.
4. A price increased from $30 to $50. Find the % of the increase.
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
% of in crease and % of decrease follows a simple formula
+%28difference%2Foriginal%29%2A+100+
Lets start with problem #3
+%28%2825+-+10%29%2F25%29+%2A+100+
+%2815%2F25%29+%2A+100+
+%283%2F5%29+%2A+100+ or +%286%2F10%29+%2A+100+
+600%2F10+=+60%2F1+ or 60%
Problem #4
+%28%2850+-+30%29%2F30%29+%2A+100+
+%28%2820%29%2F30%29+%2A+100+ or +%282%2F3%29+%2A+100+
2/3 = .6 repeating ........
66 2/3%
Now for the first two:
1. What number increased by 30% = 260?
1x + .3x = 260
1.3x = 260
x = 200
2. What is 66 2/3% less than 45? (66 2/3 % ... from prob #4 is 2/3)
1x = 45 - 2/3x
4/3x = 45
x = 33 3/4