keisha, Chau and Dan have a total of $97 in their wallets. keisha has $5 less than Dan. Chau has 4 times what dan has. how much does each have?

Respuesta :

Let the amount Dan has = X

Keisha has 5 less than Dan, so she has X -5

Chau has 4 times what Dan has, so he has 4x

Now we have X + X-5 + 4x = 97

Combine the like terms: x +x +4x = 6X

Now we have 6x -5 = 97

Add 5 to each side:
6x = 102

Solve for X by dividing both sides by 6:
X = 102 / 6
X = 17

Dan = X = $17
Keisha = X-5 = 17-5 = $12
Chau = 4x = 4*17 = $68