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

Answer:

Pablo: $17

Yolanda: $8

John: $68

Step-by-step 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

$P = \frac{102}{6}$

$P = 17$

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

$Y = 17 - 9$

$Y = 8$

$J = 4P$

$J = 4*17$

$J = 68$