Emma buys a camping van for £23500 plus vat at 20% she pays deposit then pays the rest in of the cost in 18 equal payments of £940 each month find the ratio of the deposit Emma pays to total of the 18 equal payments give your answer in the simplest part

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:

= 23500 + 4700

= £28200

The total deposit amount is given by:

= 28200 - 16920

= £11280

So, the ratio of the Emma pays to a total of the 18 equal payments is:

Further, simplify the above ratio.

Therefore, the ratio of the deposit Emma pays to a total of the 18 equal payments is 2/3.

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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

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