With amounts measured in gallons, let
x = amount of 65% antifreeze
y = amount of 90% antifreeze
1 gal of the 65% brand contains 0.65 gal of pure antifreeze; x gal would contain 0.65x gal. Similarly, y gal of the 90% brand contains 0.90y gal of pure antifreeze.
To obtain 120 gal of 80% antifreeze solution (which contains 0.80•120 = 96 gal of pure antifreeze), we must have
x + y = 120 … … … … … [total volume of antifreeze solution]
0.65x + 0.90y = 96 … [total volume of pure antifreeze]
Solve the first equation for y :
y = 120 - x
Substitute this into the second equation and solve for x :
0.65x + 0.90 (120 - x) = 96
0.65x + 108 - 0.90x = 96
0.25x = 12
x = 48
Solve for y :
y = 120 - 48
y = 72
Just draw x where the number gies
Answer:
a)
$2.79 per pound.
$0.93 per apple.
b)
Unit price per pound is typically used because weight and size of every apple is not same.
Step-by-step explanation:
5 pound bag of organic apples = $13.95
1 pound bag of organic apples = $13.95/5
= $2.79
The unit price of apples that cost $13.95 for 5 pounds is $12.79 per pound.
<em>As a general rule, 1 pound of apples is equal to: 4 small apples. 3 medium apples. 2 large apples. So, here we assume that apples are of medium size.</em>
3 apples cost = $2.79
<em>The unit price means 'what is the cost of 1 apple'</em>
1 apple cost =$2.79/3
=$0.93
The unit price of apples that cost $2.79 for 3apples is $0.93 per apple.
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Answer: The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6
Step-by-step explanation:
numbers whose sum is 12
Sum =12 Product Difference Product- Difference
11 +1 11 10 1
10 +2 20 8 12
9 +3 27 6 21
8 +4 32 4 28
7 +5 35 2 33
6+6 36 0 36
The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6
