The ratio of money in Obi's wallet to Rudy's wallet one day was 5:2. Obi spent £20 that day. Obi now had £8 less than Rudy. How much did Rudy initially have?

Question

asked Jul 15, 2020 198k views

1 Answer

Intelfx · Answer 1 · 2020-07-21T19:30:11+0000

Answer:

£8

Explanation:

If the ratio of money in Obi's wallet to Rudy's wallet one day was 5:2, then Obi had 5x and Rudy has 2x in their wallets.

Obi spent £20 and 5x-20 left. Obi now had £8 less than Rudy, thus,

$2x-(5x-20)=8,\\ \\2x-5x+20=8,\\ \\-3x=8-20,\\ \\-3x=-12,\\ \\x=4.$

This means that initially Obi had £20 and Rudy had £8.