MGS (Paya Lebar) Pri School P6 Math CA1 2006 (Q40)

The ratio of the amount of savings that Lisa had to the amount of savings that Andrea had was 8 : 5. They decided to share the cost of a Sony playstation in the ratio of 3 : 1. Lisa used half of her savings to pay for her share and Andrea paid $120 for her share. What was their total savings after paying for the playstation?


Solution

Ratio in which Linda and Andrea shared was 3 : 1.

(Lisa) 3 units
(Andrea) 1 unit ----- $120

Therefore Lisa,
3 units ----- 3 x $120 = $360

But $360 is half of Linda’s savings.
Therefore Lisa’s total savings ----- $360 x 2 = $720


Ratio of Lisa’s savings to Andrea’s was 8 : 5.
We also know that Lisa’s savings was $720.



Their savings after paying for the playstation

$360 + $330 = $690

Answer: They had a balance of $690 in total.