First find their rates...
1/6, 1/2, and 1/3 now combined they will perform the job in one day if:
t/6+t/2+t/3=1 make all have a common denominator
t/6+3t/6+2t/6=6/6 which is equal to:
6t=6 so
t=1
So if they all work together they will complete the job in one day.
So here, we are starting with two numbers: the original price, and the price after the percent increase.
First, we need to find the differences between the prices to figure out how much of a difference the percent made. $181.09 - $102.30 = $78.79
$78.79 is how much money the original price was increased by. We can find the percent change using this, since this number is what percent of the original price went up.
So now: $78.78 / $102.30 = .77018
And now, we convert that to percent: 77%
The markup was 77%.
Answers and steps in the pic..
there are 2 options....choose what you want..
Answer:
3.5 pounds of nuts; 6.5 pounds of M&Ms
Step-by-step explanation:
Let m represent the number of pounds of M&Ms to use. Then 10-m is the number of pounds of nuts, and the cost of the mix is ...
6·m + 3·(10-m) = 4.95·10 . . . . . cost = cost per pound times pounds
3m +30 = 49.5 . . . . . . simplify
3m = 19.5 . . . . . . . . . . . subtract 30
m = 6.5 . . . . . . . . . . . . . divide by 3
Then 10-m = 10-6.5 = 3.5.
The manager should use 3.5 pounds of nuts and 6.5 pounds of M&Ms in the mix.
