Answer :
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!
