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## The ratio of money in Terry’s bank account to Faye’s bank account was 3:7. Terry then put £220 in his account and Faye withdrew £300 from he

Question

The ratio of money in Terry’s bank account to Faye’s bank account was 3:7. Terry then put £220 in his account and Faye withdrew £300 from her account. They now had the same amount in their accounts. How much did Terry initially have?

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Mathematics
3 years
2021-08-26T08:03:52+00:00
2021-08-26T08:03:52+00:00 1 Answers
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## Answers ( )

Answer:

Terry initially had £390

Step-by-step explanation:

The ratio of the original amount is 3:7

Let the original amount Terry has be t and the original amount Faye has be f

3/7 = t/f

or simply 3f = 7t ••••••(i)

Terry putting 220 means he now has

t + 220

Faye withdrew 300

He now has f-300

These values are equal

t + 220 = f-300

f = t+220+300

f = t + 520 ••••••(ii)

Put ii into i

3(t + 520) = 7t

3t + 1560 = 7t

7t-3t = 1560

4t = 1560

t = 1560/4

t = 390