Respuesta :
Answer:
The ratio is 2:3
Step-by-step explanation:
The first thing we need to get here is how much was paid for the Van in total.
That would be;
23,500 + 20% of 23,500
= 23,500 + (20/100 * 23,500)
= 23,500 + (23500/5)
= 23,500 + 4,700 = £28,200
She pays a deposit, which of course wasn’t stated in the question.
But we know she pays the rest in 18 equal payments at £940 each.
The total amount she paid asides the deposit would be :
28,200 -(940 * 18) = 28,200 - 16,920 = £11,280
So what this means is that she paid a deposit of £11,280 and a cumulative installment payment of £16,920
So now, we want to find the ratio of the deposit to the 18 equal parts payment.
Mathematically, that would be;
11,280 : 16,920
= 1128 : 1692
Divide both by 1128
= 1: 1.5
= 1: 3/2
which is same as 2:3
The ratio of the deposit Emma pays to a total of the 18 equal payments is 2/3 and this can be determined by finding the deposit amount and total amount paid for the Van.
Given :
Emma buys a camping van for £23500 plus vat at 20% she pays the deposit then pays the rest of the cost in 18 equal payments of £940 each month.
The total amount paid for the Van is:
[tex]= 23500 + \dfrac{20}{100}\times 23500[/tex]
= 23500 + 4700
= £28200
The total deposit amount is given by:
[tex]= 28200-18(940)[/tex]
= 28200 - 16920
= £11280
So, the ratio of the Emma pays to a total of the 18 equal payments is:
[tex]\dfrac{11280}{16920}=\dfrac{1128}{1692}[/tex]
Further, simplify the above ratio.
[tex]=\dfrac{2}{3}[/tex]
Therefore, the ratio of the deposit Emma pays to a total of the 18 equal payments is 2/3.
For more information, refer to the link given below:
https://brainly.com/question/15385899
