Question

Some money is inherited by someones son and daughter. This was split in the ratio of 8 for the son and 9 for the daughter. The daughter inherited $3060. What was the total amount inherited?

Answer 1

`$5780`

Explanation:

We can express the ratio as an equation in `color(blue)"fractional form"`

`rArr9/3060=8/x`

where x represents the amount her son received.

`color(blue)"cross-multiply"`

`rArr9x=8xx3060`

`rArrx=(8xx3060)/9`

`color(white)(rArrx)=2720`

Total given to children `=3060+2720=$5780`

Answer 2

`$5780`

Explanation:

There are several ways of approaching this.

The monies are split into 8 parts for the son and 9 parts for the daughter. This makes a whole of:

`8+9=17" parts"`

Let the whole sum be `x`

Then we have for the daughter `-> 9/17x=$3060`

Multiply both sides by `17/9`

`[17/9xx9/17]xx x=17/9xx$3060`

`1xx x =$5780`