Respuesta :
Answer:
£27 : £63
Step-by-step explanation:
add the parts of the ratio 3 + 7 = 10
divide £90 by 10 to find the value of one part of the ratio
[tex]\frac{90}{10}[/tex] = £9 ← 1 part of the ratio
3 parts = 3 × £9 = £27
7 parts = 7 × £9 = £63
Ratio is the comparison between the two number of same units to find that the one number is how much bigger or smaller in the quantity to the another number. The number when £90 is divided in the ratio 3:7 are 27 and 63. Thus the ratio [tex]r[/tex] when £90 is divided in the ratio 3:7.
[tex]r=\dfrac{27}{63}[/tex]
Given-
The given money is £90.
What is the ratio?
Ratio is the comparison between the two number of same units to find that the one number is how much bigger or smaller in the quantity to the another number. Ratio is the resultant of the two number when one is divided by the other.
Let the number should be x which is when multiplied by the given ratio gives the resultant number by adding both.
Thus the two number are 3x and 7x.
As the sum of these two numbers is equal to the total money which is £90. Thus,
[tex]3x+7x= 90[/tex]
[tex]10x=90[/tex]
[tex]x=\dfrac{90}{10}[/tex]
[tex]x=9[/tex]
Thus the numbers when £90 is divided in the ratio 3:7 are
[tex]3x=3\times9=27[/tex]
[tex]7x=7\times9=63[/tex]
Hence, the number when £90 is divided in the ratio 3:7 are 27 and 63. Thus the ratio [tex]r[/tex] when £90 is divided in the ratio 3:7.
[tex]r=\dfrac{27}{63}[/tex]
Learn more about the ratio here;
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