Question

an estate valued at 45,000 is divided among three daughters, Ana, Betty and Chandra in the ratio 7:10:13 respectively calculate the amount each received

Answer 1

so since 45000 split on a 7:10:13 ratio, so let's simply divide 45000 by (7+10+13) and distribute accordingly to each daughter.

`\stackrel{Ana}{7}~~ : ~~\stackrel{Betty}{10}~~ : ~~\stackrel{Chandra}{13} \\\\\\ \stackrel{Ana}{7\cdot (45000)/(7+10+13)}~~ : ~~\stackrel{Betty}{10\cdot (45000)/(7+10+13)}~~ : ~~\stackrel{Chandra}{13\cdot (45000)/(7+10+13)} \\\\\\ \stackrel{Ana}{7\cdot 1500}~~ : ~~\stackrel{Betty}{10\cdot 1500}~~ : ~~\stackrel{Chandra}{13\cdot 1500} ~~ \implies~\hfill \stackrel{Ana}{10500}~~ : ~~\stackrel{Betty}{15000}~~ : ~~\stackrel{Chandra}{19500}`