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Mila [183]
3 years ago
15

elliot drove 202.8 miles and used 6.5 gallons of gasoline.How many miles did he travel per gallon of gasoline?

Mathematics
2 answers:
Ghella [55]3 years ago
6 0
Elliot drove 31.2 miles per gallon of gasoline 
andrew11 [14]3 years ago
5 0

Answer:  The required number of miles traveled per gallon of gasoline is 31.2 miles.

Step-by-step explanation:  Given that Elliot drove 202.8 miles and used 6.5 gallons of gasoline.

We are to find the number of miles that he traveled in one gallon of gasoline.

We will be using the UNITARY method o solve the given problem.

We have

Number of miles traveled in 6.5 gallon of gasoline = 202.8 miles.

Therefore, the number of miles that traveled in 1 gallon of gasoline is given by

\dfrac{202.8}{6.5}=31.2~\textup{miles}.

Thus, the required number of miles traveled per gallon of gasoline is 31.2 miles.

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3 years ago
Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for e
bekas [8.4K]

Answer:

The water she need is 7\frac{7}{8} \ cups. and strawberry syrup 11\frac{13}{16}\ cups.

Step-by-step explanation:

Given:

Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for every 3/4 cup of syrup.

Now, to find the quantity of water and syrup she need to use.

As given in question ratio so:

Strawberry syrup = 2 1/4 = 9/4.

Water = 3/4.

Total cups of strawberry drink = 15 3/4 = 63/4.

Let the strawberry syrup be \frac{9}{4} x.

And let the water be \frac{3}{4} x.

According to question:

\frac{9x}{4} + \frac{3x}{4}=\frac{63}{4}.

<em>On adding the fractions:</em>

⇒\frac{9x+3x}{4} =\frac{63}{4}

⇒\frac{12x}{4} =\frac{63}{4}

<em>Multiplying both sides by 4 we get:</em>

⇒12x=63

<em>Dividing both sides by 12 we get:</em>

⇒x=\frac{63}{12}

<em>Dividing numerator and denominator by 3 on R.H.S we get:</em>

⇒x=\frac{21}{4}

Now, putting the value of x on ratios:

Strawberry syrup =  \frac{9}{4}\times x=\frac{9}{4}\times\frac{21}{4}

                             =  \frac{189}{16}

                             =  11\frac{13}{16}\ cups  

Water = \frac{3}{4}\times x =\frac{3}{4} \times\frac{21}{4}

          = \frac{63}{8}

          = 7\frac{7}{8} \ cups.

Therefore, the water she need is 7\frac{7}{8} \ cups. and strawberry syrup 11\frac{13}{16}\ cups.

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<em>Your answer will be, </em><em>"6p - 8"</em>

Thanks,

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