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 they initially have altogether?

£1300

Step-by-step explanation:

The ratio of their accounts = 3 : 7 = 3x : 7x ( x is a multiplier )

Terry puts £220 in his account, that is 3x + 220

Fay withdraws £300, that is 7x - 300

They now have the same amounts in their accounts, thus

7x - 300 = 3x + 220 ( subtract 3x from both sides )

4x - 300 = 220 ( add 300 to both sides )

4x = 520 ( divide both sides by 4 )

x = 130

Thus

Together they had 3x + 7x = 10x = 10 × 130 = £1300 altogether

the correct answer is b) histograms can be used to exhibit the shape of distributions. this is because histograms count the frequency of each possible answer, so one is able to see which results are more common and which are less common.

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.