Respuesta :
you can easily understand converstion factors with a rule of thee
Step 1
a) Convert 9.85 L to gallons.
Let
x number of gallons
if
1 gallon = 3.78 liters
xgallon = 9.85 liters
Step 2
do the relation and solve for x
[tex]\begin{gathered} \frac{1}{3.78}=\frac{x}{9.85} \\ \text{solve for x} \\ 3.78\cdot x=1\cdot9.85 \\ x=\frac{9.85}{3.78} \\ x=2.60 \end{gathered}[/tex]so, 9.85 L= 2.6 gallons
b)How many miles are in 25 km?
1 mile = 1.61 kilometer
Let
x number of miles
if
1 mile = 1.61 km
x mile = 25 Km
Step 2
do the relation and solve for x
[tex]\begin{gathered} \frac{1}{1.61}=\frac{x}{25} \\ \text{multiplied both sides by 25} \\ 25\cdot\frac{1}{1.61}=25\cdot\frac{x}{25} \\ x=\frac{25}{1.61} \\ x=15.52 \end{gathered}[/tex]so, 25 Km= 15.52 miles
c)If a person has a mass of 60 kilograms, what is his mass in tons?
if
2,000 pounds = 1 ton
2.20 pounds = 1 kilogram
then
first, convert kilogram to pounds, then convert pounds to tons?
Let x, number of pounds
2.20 pounds = 1 kilogram
x pounds = 60 Kilogram
[tex]\begin{gathered} \frac{2.2}{1}=\frac{x}{60} \\ \text{solve for x} \\ x=60\cdot2.2 \\ x=132 \end{gathered}[/tex]so , 60 Kg=132 pounds
Now, convert pounds to tons
Let x, number of tons
2,000 pounds = 1 ton
132 Pounds = x ton
[tex]\begin{gathered} \frac{2000}{1}=\frac{132}{x} \\ \text{solve for x} \\ 2000\cdot x=132\cdot1 \\ 2000x=132 \\ x=\frac{132}{2000} \\ x=\text{0}.066 \end{gathered}[/tex]so, 60 Kg =0.066 tons
I hope this helps you
