Instead of doing yours for you, I'll do one exactly like yours with
different numbers.
Charles has three times as much money as Dave. Ethan has 4 times as much
money as Charles. If Ethan has $45 more than Charles, what was the total
amount of money the three boys had?
Charles has 3 times as much money as Dave.
C = 3D
Ethan has 4 times as much money as Charles.
E = 4C
If Ethan has $45 more than Charles,
E = C + 45
Since 4C and C + 45 both equal to E, they are equal to each other.
So we set them equal:
4C = C + 45
3C = 45
C = 15
Substitute 15 for C in
C = 3D
15 = 3D
5 = D
Substitute 15 for C in
E = 4C
E = 4(15)
E = 60
So Charles had $15, Dave had $5 and Ethan had $60.
what was the total amount of money the three boys had?
Together they had $15 + $5 + $60 = $80
Now do yours.
Edwin
