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?

2 Answers
Mar 16, 2017

Answer:

#$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#

Mar 16, 2017

Answer:

#$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#