Answer:
$300 was the regular price of the sofa.
Step-by-step explanation:
If $219 is 27% less than the regular price, then it represents 73% of the regular price.
Regular price = r.
r/1 x 73/100 = $219. Reverse this to find that $219/1 divided by 73/100 = r.
To divide fractions, reverse the second fraction and MULTIPLY:
$219/1 x 100/73 = 21900/73 = 300.
To determine this, we need to set up fractional proportions.
First, put 12.5% (what we're looking for) over 100%, which is the total (256).
12.5/100 should be your first fraction.
Now, put x over 256, x being 12.5% of 256.
x/256 should be your second fraction.
Now put these two fractions as an equation.
x/256 = 12.5/100
This may be where things get tricky if you don't pay attention.
Cross multiply the top number (numerator) of x/256 with the bottom number (denominator) of 12.5/100.
You should end up with 100x.
Now, cross multiply the top number of 12.5/100 with the bottom number of x/256.
You should end up with 3200.
Now our equation is:
100x = 3200
Divide both sides by 100 to get x.
100x/100 = x
3200/100 = 32
x = 32 is now your simplified equation.
Your final answer is:
32 is 12.5% of 256.
Also, since 12.5% is 1/8 of 100%, we can test our answer.
Multiply 32 by 8 to get 8/8 (100%).
32 x 8 = 256.
Your answer is 32.
I hope this helps!
Answer:
60 pounds
Step-by-step explanation:
Let the normal price be p. The "25%-off" sale price is then 0.75p, and this 0.75p equals 45 pounds. Dividing both sides by 0.75 results in p = 60 pounds.
A = 1/2 bh
A = 1/2 (21)(8)
A = 1/2 (168)
A = 84
Your y-intercept would be (0,-13)
