Question

Miguel has three times as much money as Vincenzo. Brendan has $4 less than Miguel and $5 more than Vincenzo. How much does each have?

Answer 1

Amount of money with Vincenzo, Miguel and Brendan is $4.5 , $13.5 and $9.5 respectively.

Step-by-step explanation:

Given:

Miguel has three times as much money as Vincenzo.

Brendan has $4 less than Miguel and $5 more than Vincenzo

To Find:

Amount of money each person have=?

Solution:

Let assume amount of money with Vincenzo = $V

As given that Miguel has three times as much money as Vincenzo

So amount of money with Miguel = 3 x amount of money with Vincenzo =

=> 3 x V = 3V

Let say money with Brendan = $B

As Brendan has $4 less than Miguel

=> B = 3V – 4 ------(1)

Also Brendan has $5 more than Vincenzo

=> B = V + 5 ------(2)

From (1) and (2) , we can say that

=> 3V – 4 = V + 5 [ As both are equal to B.]

=> 3V – V = 5 + 4

=> 2V = 9

=>
`V = (9)/(2)`

=>V=4.5

Amount of money with Vincenzo = V = $4.5

Amount of money with Miguel = 3V = 3 x 4.5 = $13.5

Amount of money with Brendan = 3V – 4 = $13.5 – 4 = $9.5

Hence Amount of money with Vincenzo , Miguel and Brendan is $4.5 , $13.5 and $9.5 respectively.