Hey there! I'm happy to help!
Let's set this up a proportion (two equal ratios) to find out how many miles Wina can drive on 12 gallons gas.
[tex]\frac{miles}{gallons} =\frac{282}{10} =\frac{m}{12}[/tex]
What do we multiply the bottom 10 by to get to 12? Well, to find out, we can divide 12 by 10 below.
12÷10=1.2
This means that we multiply the numbers in the first fraction by 1.2 to have the same numerator and denominator as the second fraction.
If we multiplied our 10 b y 1.2 to get the denominator in the second fraction, we should be able to multiply 282 by 1.2 to get the numerator in the second fraction!
282×1.2=338.4
If you use 338.4 in this proportion, the ratios will be equal.
Therefore, Wina could drive 338.4 miles on 12 miles of gas at this same rate.
Have a wonderful day!
