Question

The ratio of money in Brian's wallet to Colin's wallet one day was 7:2. Brian spent £39 that day. Brian now had £4 less than Colin. How much did Colin initially have?

Answer 1

Answer:

Collin initially have $\£14$

Step-by-step explanation:

Let

x------> money that Brian had initially

y------> money that Collin had initially

we know that

$\frac{x}{y}=\frac{7}{2}$

solve for x

$x=\frac{7}{2}y$ -------> equation A

$x-39=y-4$ ------> equation B

substitute equation A in equation B

$\frac{7}{2}y-39=y-4$

$\frac{7}{2}y-y=39-4$

$\frac{5}{2}y=35$

$y=\£14$