contestada

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?

Respuesta :

Answer:

Collin initially have [tex]\£14[/tex]

Step-by-step explanation:

Let

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

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

we know that

[tex]\frac{x}{y}=\frac{7}{2}[/tex]

solve for x

[tex]x=\frac{7}{2}y[/tex] -------> equation A

[tex]x-39=y-4[/tex] ------> equation B

substitute equation A in equation B

[tex]\frac{7}{2}y-39=y-4[/tex]

[tex]\frac{7}{2}y-y=39-4[/tex]

[tex]\frac{5}{2}y=35[/tex]

[tex]y=\£14[/tex]