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?
Explain how you arrived at your answer.
Answer (2)
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 !
Both Todd and Zack earn a salary of $912. After their expenditures, Todd has $196 left and Zack has $784 left. Zack has four times the amount of money as Todd, confirming the calculation is accurate.
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