SOLUTION: A child is given an allowance of $1.25 per day for chores. The parent says they will increase the allowance by 75 cents per day after a month. What is the percent increase the chi

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A child is given an allowance of $1.25 per day for chores. The parent says they will increase the allowance by 75 cents per day after a month. What is the percent increase the chi      Log On


   

Question 964346: A child is given an allowance of $1.25 per day for chores. The parent says they will increase the allowance by 75 cents per day after a month. What is the percent increase the child receives?
The answer is 60 percent, could you please teach me how to solve this problem?
Found 3 solutions by josgarithmetic, macston, Edwin McCravy:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Start with 1.25.
Change to 1.25+0.75=2.00.

Amount of increase was given, 0.75.
What PERCENT increase, how many parts of 100 original parts?

0.75%2F1.25=p%2F100+, a proportion.
p is the number of parts in one-hundred parts of the starting number.
Seventy five hundreds is how many parts per hundred original parts of 1.25?

Just solve the proportion.

%280.75%2F1.25%29%2A100
%2875%2F125%29100

%28%2875%29%2F%285%2A25%29%29100

%28%2825%2A3%29%2F%285%2A25%29%29100

%28%28cross%2825%29%2A3%29%2F%285%2Across%2825%29%29%29%2A100

%283%2F5%29%2A100

3%28100%2F5%29

3%2A20

highlight%2860%29

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
To find percent increase, take amount of increase ($0.75) divide by the original amount ($1.25) and multiply by 100%.
$0.75/$1.25=0.60 and (0.60)(100%)=60%.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
I'd rather just give you a formula that you can use to find ANY percent 
change in ANY amount, whether it's an increase or a decrease:

%22=%22%22%22%D7%22%22100%25%22

Edwin