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?

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?

Julia Adams · Accepted Answer

#$5780#

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#

Abigail Allen · Answer

#$5780#

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#

Eva Abramson · Answer

undefined To find the total amount inherited, we first need to determine the amount inherited by the son. Since the daughter received 9 parts of the total ratio and inherited $3060, we can calculate the value of one part of the ratio by dividing $3060 by 9. This gives us $340 per part. Then, to find the total amount inherited, we multiply the value of one part by the total parts in the ratio (8 for the son and 9 for the daughter) and add it to the daughter's inheritance. So, the total amount inherited is (8 * $340) + $3060 = $2720 + $3060 = $5780. Therefore, the total amount inherited is $5780.

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?