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The exchange rate at the post office is £1=€1.17
How many euros will you get for £360

Sagot :

Answer:

421.20

Step-by-step explanation:

What Are Ratios?

Ratios is the proportion of two distinct amounts relative to each other. Like, how many apples to oranges or in our case, how much is 1 pound worth to the worth of euros?

Ratios can be written with a colon or as a fraction as seen below,

  • x : y
  •  [tex]\dfrac{x}{y}[/tex].

Lastly, they can be scaled up (or down) by an integer value that makes the individual quantities larger (or smaller) while maintaining their proportion to the other quantity.

  • In a fraction, the factor is multiplied to the numerator and denominator. That proves that the proportion is maintained since the multiplied integer could be "cancelled" out.
  • In a ratio, the factor is multiplied to each component or x and y.

Using Ratios

A fraction can be set up with given exchange rate,

[tex]\rm \dfrac{1 \: pound}{1.17 \: euro}[/tex].

If we need to exchange 360 pounds to euros, we can equate the exchange rate with a ratio with the scenario's ratio of 360 pounds and x euros to find the value of euros 360 pounds are worth!

It's permissible to equate the ratios since the scenario's ratio is a scaled up version of the exchange rate, so both fractions' are worth the same.

[tex]\rm \dfrac{1 \: pound}{1.17 \: euro}=\rm \dfrac{360 \: pound}{x \: euro}[/tex]

[tex]\rm x \: (pound*euro)= 421.2(pound*euro)\\\\\rightarrow x = 421.2[/tex]

So, 360 pounds is worth 421.20 euros!

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