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:

$17.2

Step-by-step explanation:

The ratio of money in Brian's wallet to Colin's wallet is;

[tex]B:C=7:2[/tex]

[tex]\implies \frac{B}{C}=\frac{7}{2}[/tex]

[tex]\implies B=\frac{7C}{2}[/tex] .....(1)

If Brian spent $39, then he now

has: $(B-39)

This amount compared to Collin's money is

$(B-39)=C+4

B=C+4+39

B=C+43.....(2)

Put equation (1) in (2)

[tex]\frac{7C}{2}=C+43[/tex]

[tex]7C=2C+86[/tex]

[tex]7C-2C=86[/tex]

[tex]5C=86[/tex]

[tex]C=17.2[/tex]

Collins initially had $17.2

Answer:

£14

Step-by-step explanation:

hegartymaths gave this answer.