Sue,Martin and Lucy have £1180 in the bank shared between them in the ratio 16:23:20. Marvin takes out £100 and Lucy puts some money into the bank.Their total money is now in the ratio 8:9:12.How much more money Lucy put into the bank? Could somebody help me to find the correct answer,please?

Answer 1

Given:
S:M:L = 16:23:20
Total = £1180

Actual amounts for each
S:M:L = (£1180/(16+23+20)*(16:23:20)
=£(320:460:400)
Marvin takes out £100, and Lucy puts in £x, so new ratio
(8:9:12) = (320:360:400+x)
If we multiply the left-hand side by 40, we get
(320:360:480) which equals (320:360:400+x)

Can you figure out what x should be?

Answer 2

£80..Thank you.

Answer 3

Yes, that is correct.