Here’s and example of a **SMART MATH** problem for **ALGEBRA.**

**Problem**

**Problem**

A temporary worker engaged on a contract basis is paid $10 every day he attends work and $5 is deducted from his salary as a fine every day he remains absent. If in a month of 30 working days, he earns $240, for how many days was he absent from work that month?

- 12 days
- 5 days
- 4 days
- 3 days
- 2 days

**The Usual Method**

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Let the number of days he remained absent be ‘*x*’.

Hence, number of days he was present = (30 – *x*)

Hence,

days

**(Ans: 3)**

*Estimated Time to arrive at the answer = 45 seconds.*

**Using Technique**

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If the worker remained absent, he not only loses $5 but also loses the $10 daily wage. Thus the net loss for the worker is $15 (10 + 5).

Had the worker attended work on all 30 days, his earning would have been 30 x 10 = $300. But his actual earning = $240. Hence, the difference = 300 – 240 = $60 is attributable to the number of days he was absent. Since, loss per day of absence = $ 15, so for a loss of $60, the worker was absent for 4 days.

**(Ans: 3)**

*Estimated Time to arrive at the answer = 15 seconds.*

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