Question

(u) Hansi and Megan go on holiday.

Answer 1

Answer:

a) $432

b) (i) $8970

Step-by-step 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.

$4x = 4\times 108 = \bold{\ 432}$

b)(i)

Earnings in 2009:

$7800 + 15% of $7800

$\Rightarrow 7800 +\dfrac{15}{100}\times 7800\\\Rightarrow 7800 + 1170\\\Rightarrow \ 8970$