alaysiagaddy05
alaysiagaddy05 alaysiagaddy05
  • 03-12-2018
  • Mathematics
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A gas tank holds 16 1/8 gallons when it is 3/4 full. How many gallons of gas does the tank hold when it is completely full?

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calculista
calculista calculista
  • 12-12-2018

Answer:

[tex]21\frac{1}{2}\ gallons[/tex]

Step-by-step explanation:

Convert mixed number to an improper fraction

[tex]16\frac{1}{8}\ gallons =\frac{16*8+1}{8}=\frac{129}{8}\ gallons[/tex]

remember that

[tex]\frac{3}{4}=0.75=75\%[/tex]

by proportion

[tex]\frac{(129/8)}{(75)}\frac{gallons}{\%} =\frac{x}{100}\frac{gallons}{\%} \\ \\x=100*(129/8)/75\\ \\x= \frac{129}{6}\ gallons\\ \\x=21\frac{1}{2}\ gallons[/tex]


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