Answer:
total pages = 20
Step-by-step explanation:
60% of an unknown number is 12
Let the unknown number (total pages) be x.
60/100 of x = 12
60/100 * x = 12
3/5 x = 12
x = 12 * 5/3
x = 20
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
It's a right triangle. Use the pythagorean theorem. 36^2+r^2=(r+12)^2. r=48.
Answer:
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Step-by-step explanation:
Step 1:
Multiply each by 5, then make any necessary conversions to the other units of measurement (ie. gallon, quart, etc)
30 gallons x 5= 150 gallons
3 quarts x 5= 15 quarts
1 pint x 5= 5 pints
Step 2:
CONVERSION
1 gallon=4 quarts
1 gallon= 8 pints
1 quart= 2 pints
GALLONS: 150 gallons
QUARTS:
=15 quarts ÷ # quarts in gallon
=15/4= 3 gallons 3 quarts
PINTS:
=5 pints ÷ # pints in quart
=5/2= 2 quarts 1 pints
TOTALS:
150 gallons
3 gallons 3 quarts
2 quarts 1 pint
Since we have 5 additional quarts, and we know that 4 quarts=1 gallon, we need to convert again.
=3 quarts + 2 quarts
=5 quarts ÷ # quarts in gallon
=5/4 = 1 gallon 1 quart
FINAL TOTALS
GALLONS: 150 + 3 + 1= 154 gallons
QUARTS: 1 quart
PINTS: 1 pints
