SEARCH HOME
 Math Central Quandaries & Queries
 Question from Sthantsa: Jessie and Thulani each has a sum of money. Jessie’s amount is 2/5 that of Thulani’s. If Thulani were to give Jessie R198, then his remaining amount will be 6/8 that of Jessie’s amount. How much does Jessie have originally??

Hi,

Suppose Jessie has $J$ rand and Thulani has $T$ rand.

"Jessie’s amount is 2/5 that of Thulani’s." and hence

$J = \frac{2}{5} T.$

If Thulani were to give R198 to Jessie how much would Thulani have left? How much would Jessie have now? Thulani's remaining amount is 6/8 Jessie's amount. This give another equation in $J$ and $T.$

Solve the pair of equations for $J$ and $T.$