If one painter can paint a house in 5 days and another painter can paint the same house in 3 days, how long will it take the to
1 answer:
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Answer:
a. 25.9% b. $.76 per pound
Step-by-step explanation:
For part a. the formula for percent decrease is
% dec =
We are solving for % dec. Filling in:
% dec = simplifies to
% dec = which gives us, rounded to one decimal place:
% dec = 25.9%
For part b. we are going to use that percent decrease and fit it into a new equation to solve for the new price of tomatoes when we know the original price. Filling in:
which could be written instead as
Now you can see what will happen on the right when we divide by 100...they cancel out. That looks like this, when we divide both sides by 100, as we must because this is an equation:
Simplifying on both sides:
Now we will multiply both sides by 1.03:
.26677 = 1.03 - new and
-.76323 = -new so
the new price is .76 per pound