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Darina [25.2K]
3 years ago
9

A car can travel 340 miles on 10 gallons of gasoline. How much gasoline will it need to go 510 miles?

Mathematics
2 answers:
CaHeK987 [17]3 years ago
4 0

Answer:

The answer to your question is 15 gallons

Step-by-step explanation:

Data

distance 1 = 340 mi

volume 1 = 10 gal

distance 2 = 510 mi

volume 2 = ?

Process

To solve this problem we know that there is a direct proportion between the distance traveled and the gasoline used. The more distance traveled, the more gasoline used.

                             340 mi ---------------------- 10 gal

                              510 mi  ---------------------  x

                              x = (510 x 10)/340

                              x = 5100/340

                              x = 15 gallons

Lera25 [3.4K]3 years ago
3 0

Answer:

15

Step-by-step explanation:

340/10=510/15

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Amy and Ben share £21 between them in the ratio 5 : 2. How much does Amy get?
Alika [10]

Answer:

✑ \underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} :

Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = \sf{ \frac{30}{40} =  \frac{3}{4}   = 3:4} and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : \sf{ \frac{a}{b}} is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.

✎ \underline{ \underline{ \sf{Now \: let's \: solve : }}}

☪ \underline{ \sf{Solution}} :

£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.

Then , According to the question , \text{5x +2x = 21}

Solve for x :

⇝ \sf{7x = 21}

⇝ \sf{ \frac{7x}{7}  =  \frac{21}{7} }

⇝ \sf{x = 3}

The value of x is 3. Now , substitute the value of x in 5x :

Amy received £ 5x = 5 × 3 = £ 15 .

☥ \boxed{ \boxed{ \tt{Our \: final \: answer \: is \bold{£ \: 15}}}}

Hope I helped ! ツ

Have a wonderful day / night ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

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\huge \bf༆ Answer ༄

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