Both Todd and Zack earn the same salary. Todd spent $716 and Zack spent $128. Then Zack had 4 times the amount of money Todd had left. How much is their salary? Please tell me how and what your answer is?

Question

26-05-2014
Mathematics

contestada

Both Todd and Zack earn the same salary. Todd spent $716 and Zack spent $128. Then Zack had 4 times the amount of money Todd had left. How much is their salary? Please tell me how and what your answer is?

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AL2006 AL2006 · Answer 1 · 2014-05-26T05:45:52+02:00

They both earn the same salary. Call it ' S '.

After Todd spent 716, he had (S - 716) left.

After Zack spent 128, he had (S - 128) left.

The question says that Zack has 4 times as much as Todd has, so

(S - 128) = 4 times (S - 716)

Eliminate parentheses on the right side:

S - 128 = 4S - 2,864

Subtract ' S ' from each side:

-128 = 3S - 2,864

Add 2,864 to each side:

2,736 = 3S

Divide each side by 3 :

912 = S
==========================

Check:
After Todd spends 716, he has (912 - 716) = 196 left.
After Zack spends 128, he has (912 - 128) = 784 left.
784/196 = exactly 4 times.
yay !