Question

For the past 𝑚 days, the average daily production at a company was 100 units per day. If today’s production of 180 units changes the average to 110 units per day, what is the value of 𝑚?

Options :

  1. 18

  2. 10

  3. 7

  4. 5

Show Answer

Answer :

7

Solution :

For the past m days, the average daily production at a company was 100 units per day.

A v e r a g e = S u m o f N u m b e r s T o t a l N u m b e r s

100 = S u m o f N u m b e r s m

Sum of numbers = 100m

New Average after today's production = 110

Todays production = 180 units

N e w A v e r a g e = N e w S u m o f N u m b e r s T o t a l N e w N u m b e r s

110 = 100 m + 180 m + 1

110(m + 1) = 100m + 180

110m + 110 = 100m + 180

10m = 70

m = 7

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