Question

Yolanda , Pablo, and John have a total of $93 in their wallets. Yolanda had $9 less than Pablo. John has 4 times what Pablo has. How much does each have ?

Answer 1

Pablo: $17

Yolanda: $8

John: $68

Explanation:

Represent Yolanda with Y, Pablo with P and John with J.

So, we have:

`Y + P + J = 93`

`Y = P - 9`

`J = 4P`

Required

Determine the amount each has

Substitute the expressions for Y and J in
`Y + P + J = 93`

`P-9 + P + 4P = 93`

Collect Like Terms

`P + P + 4P = 93 + 9`

`6P =102`

Make P the subject

`P = (102)/(6)`

`P = 17`

Substitute 17 for P in
`Y = P - 9` and
`J = 4P`

`Y = 17 - 9`

`Y = 8`

`J = 4P`

`J = 4*17`

`J = 68`