#Year 4 question and explanation

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pine idol
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I’m actually confused how you would work this out.

During a 5-day tennis competition, crowd numbers fluctuated between a low of 122 on Day 1 and a high of 455 on the last day. If the average daily attendance for the other days was 341, what is the average daily attendance rate for the whole competition?

feral umbraBOT
stone copper
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We have 5 days: D1, D2, D3, D4, D5. We know that the crowd number for D1 is 122 and 455 for D5. The average daily attendance of the other days (meaning D2, D3, D4) is 341 which means that:

(D2 + D3 + D4)/3 = 341

Therefore

D2 + D3 + D4 = 1023

The average daily attendance for the whole competition is given by:

(D1 + D2 + D3 + D4 + D5)/5 = x

Since D2 + D3 + D4 = 1023 & D1 + D5 = 122 + 455 = 577, then D1 + D2 + D3 + D4 + D5 = 1023 + 577 = 1600. So by substitution we have:

x = 1600/5 = 320

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@pine idol

pine idol
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Ahhh you’re so right

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Thank you so much

stone copper
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You're welcome

feral umbraBOT