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2 years ago

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NEED HELP ASAP The salaries of Nathan and Trisha are in the ratio of 5:9. Trisha's salary is £16800 more than Nathan's. Find Nat

han's salary.

1 answer:

slava [35]2 years ago

3 0

Answer:

From the ratio

The difference is 9 - 5 = 4

Hence Trisha has 4 units more than Nathan and this resulted to 16800

Therefore 1 unit will be

16800 / 4 = 4200

Nathan’s salary is 5 units

5 * 4200 = 21000

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$\left[\begin{array}{ccccccccc}Letters&10&2&[150 ]&7&1&500&[420] \\Cost&0.45&0.90&6.75&[0.315]&[0.045 ]&[22.5 ] & 18.90\end{array}\right]$

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$\left[\begin{array}{ccccccccc}Letters&10&2&[\ ]&7&1&500&[\ ] \\Cost&0.45&0.90&6.75&[\ ]&[\ ]&[\ ] & 18.90\end{array}\right]$

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<em /> $L \to$ <em> Letters</em>

<em /> $C \to$ <em> Cost</em>

<em />

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$C = kL$

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<em /> $k \to$ <em> ratio of proportion</em>

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$C = kL$

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$C = 0.045L$

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$C = 0.045L$

$6.75 = 0.045L$

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$L = \frac{6.75}{0.045}$

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$C = 0.045L$

$C = 0.045 \times 7$

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<u>When L = 1, we have:</u>

$C = 0.045L$

$C = 0.045 \times 1$

$C = 0.045$

<u>When L = 500, we have:</u>

$C =0.045L\\$

$C =0.045 \times 500$

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<u>When C = 18.90, we have:</u>

$C = 0.045L$

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Solve for L

$L=\frac{18.90}{0.045}$

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$\left[\begin{array}{ccccccccc}Letters&10&2&[150 ]&7&1&500&[420] \\Cost&0.45&0.90&6.75&[0.315]&[0.045 ]&[22.5 ] & 18.90\end{array}\right]$

Read more about proportions at:

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