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Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip?
A $20.00
B $60.00
C $70.00
D $110.00

Sagot :

KANTOINEDOIXIN

PROPORTION

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Solve:

[tex] \implies \large \sf \frac{gallons \: of \: gas}{price} \\ [/tex]

[tex]\implies \sf \large \frac{20}{n} = \frac{3}{10.5} \\ [/tex]

[tex]\implies \sf \large \frac{ \blue{20}}{ \green{n}} = \frac{ \green{3}}{ \blue{10.5}} \\ [/tex]

[tex]\implies \sf \large \green{3n} = \blue{210}[/tex]

[tex]\implies \sf \large \frac{ \cancel3n}{ \cancel3} = \frac{210}{3} \\ [/tex]

[tex]\implies \sf \large \therefore \: \orange{ n = 70}[/tex]

[tex] \: [/tex]

Final Answer:

[tex] \sf \huge \orange{\$70.00}[/tex]

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