Math Is Fun Forum

Mathegocart

Member

Registered: 2012-04-29

Posts: 2,226

Averages and Clocks : HELP

1) The average weight for the 5 starting persons on the HS team was reported as 150 pounds(total:750). One of the 5 weights has been recorded incorrectly. It should have been 175 pounds. Now the average weight of the 5 persons is correctly reported as 164 pounds. What weight was recorded instead of 175 pounds?
My Logic:
so the incorrect total was 150 * 5 = 750, and the correct total was 164 * 5 = 820. Because 820 - 750 = 70, the difference in the totals is 70, the weight that was incorrectly recorded was 175 - 70  = 105.
2)A clock is divided in 12 equal parts and each of these are split into 5 equal smaller parts. Normally the hour moves on the smaller parts while the minute moves 12 of the small parts. The clock pictured below shows 3 PM.  From this moment on, the hour hand moves correctly, but the minute hand only moves 10 of these smaller parts as the hour hand moves. Eventually the minute hand will be in the correct position and the clock will give the correct time. What time will it be when this FIRST occurs?
3) Using only the digits 1,2,3,4 with repetition allowed, how many 3 digits number can be made that sum up to 9
144,234,243,324,342,333,414,441,423,432,.

so there are 10.
4)MR DEE spent 1/4 of his life in England; 1/3 of his life in France, 7 years in germany, half the remainder of his life in russia, and half as long in the US has he spent in France. If he was born in 1908, when did he die?

---

The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Averages and Clocks : HELP

Hi;

I got your answer for 1).

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Mathegocart

Member

Registered: 2012-04-29

Posts: 2,226

Re: Averages and Clocks : HELP

Hi;

I got your answer for 1).

Is it 105?

Last edited by Mathegocart (2016-07-07 14:58:00)

---

The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Averages and Clocks : HELP

Yes, that is what I got too.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Fruityloop

Member

Registered: 2009-05-18

Posts: 143

Re: Averages and Clocks : HELP

2) 9:00 pm
4)  1992