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

**Problem**

**Problem**

Nine men went to a restaurant. Eight of them spent $6 each for their meals and the ninth man spent $4 more than the average expenditure of all nine men. What is the average expenditure?

- $5.00
- $5.50
- $6.50
- $7.50
- $10.00

**The Usual Method**

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Total money spent by eight men = 6 x 8 = $48.00

Total money spent by 9 men = 48 + (*x* + 4), where ‘*x*’ is the average spend of all nine men.

Total money spent can also be written as = 9*x*

This can be equated to 48 + (*x* + 4).

Hence average = $6.50

**(Ans: 3)**

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

**Using Technique**

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If 8 men out of 9 men spent $ 6 each, assume the average to be $6.

We also know that the 9^{th} man spent $ 4 more than the rest. This $4 has to be apportioned to the 8 men who spent $6 each. Hence, has to be added to the original spent of $6. i.e 60 + 0.50 = $6.50 which is the new average.

**(Ans: 3)**

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

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