Question

(u) Hansi and Megan go on holiday.

The costs of their holidays are in the ratio Hansi : Megan = 7:4.
Hansi's holiday costs $756.
Find the cost of Megan's holiday.
Answer(a) $
(b) In 2008, Hansi carned $7800.
(i) He carncd 15% more in 2009.
Calculate how much he earned in 2009.
PLEASE ANSWER

Answer 1

a) $432

b) (i) $8970

Explanation:

Given that:

Ratio of Cost of Hansi and Megan is 7 : 4.

Hansi's holidays cost = $756

Hansi's earnings in 2008 = $7800

In 2009, there are 15% more earnings than in 2008.

To find:

Cost of Megan's holiday.

Earnings in 2009 ?

Solution:

As per given question statement,

Let the holiday cost of Hansi = 7
`x`

Let the holiday cost of Megan = 4
`x`

As per question statement:

`7x=756\\\Rightarrow x = \$108`

We have to find the value of 4
`x` now.

`4x = 4* 108 = \bold{\$432}`

b)(i)

Earnings in 2009:

$7800 + 15% of $7800

`\Rightarrow 7800 +(15)/(100)* 7800\\\Rightarrow 7800 + 1170\\\Rightarrow \$8970`