Question

The ratio of money in Brian's wallet to Colin's wallet one day was 5:1. Brian spent £27 that day. Brian now had £3 less than Colin. How much did Brian initially have?

Answer 1

Brian had $30 initially.Brian had $30 initially.

Explanation:

WE are given the following in the question:

Let Brian have x dollars and Colin have y dollars.

Ration of Brian's money to Colin's money is 5:1. This, we can write the equation:

`(x)/(y) = (5)/(1)\\\\x = 5y`

"Brian spent £27 that day. Brian now had £3 less than Colin."

Thus, we can write the equation:

`x-27 = y-3\\x-y = 24`

Solving the two equation by substitution, we get,

`x - y - 24\\5y - y = 24\\4y = 24\\y=6\\x = 5y =30`

Thus, Brian had $30 initially.