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yulyashka [42]
2 years ago
14

Jenny and Kath hire the canal boat for 14 days. They share the hire cost of £1785.00 in the ratio 2:3. Work out the smaller shar

e.
Mathematics
1 answer:
Dafna1 [17]2 years ago
5 0

Answer:

£714.00

Step-by-step explanation:

The first step is to set up expresssions for the two shares:

Let  x = the amount of one share.  The other share is 1785 - x.  <u>You don't have to worry about which is smaller--that part will work out automatically</u>!

The two shares are in the ratio of 2:3, so set up the proportion

\frac{x}{1785-x}=\frac{2}{3}

Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.

Solve the proportion for  x  by "cross multiplying" -- use the Means-Extremes Property of proportions.

(3)(x)=(2)(1785-x)\\3x=3570-2x\\5x=3570\\x=714

So one share is £714£ and the other is £1785 - £714 = £1071.

The smaller share is £714.

<u />

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