Posted by **Alex** on Sunday, July 27, 2008 at 7:57am.

The parliament of the land of Archronia consists of two houses. The Parliament was elected in 1995 for a period of four years beginning on Monday, January 1st, 1996, when the two houses had their first sessions. According to the rules, the meetings of the first house must occur every ten days for the duration of the term, and the meetings of the second house must occur every twelve days. For example, the second meetings of the first and second houses were held on the 11th and 13th of January respectively. A new law can be passed only when both houses meet on a Monday. How many opportunities will the parliament members have to pass new laws during this four year term?

- alberbra -
**Reiny**, Sunday, July 27, 2008 at 9:25am
first of all, find the number of days in 4 years, which would be 3x365 + 366 (one leap year)

the days that a law can be passed has to be divisible by 10, 12 and 7

the lowest common multiple would be 420

How many multiples of 420 are there in your total number of days?

- alberbra -
**Alex**, Sunday, July 27, 2008 at 6:49pm
3, thanx

- alberbra -
**drwls**, Sunday, July 27, 2008 at 9:31am
The number of days after January 1, 1996 must be divisible by 10, 12 and 7. It must also be less than 365x4 = 1460.

The Lowest Common Multiple of those numbers is 2^2*3*5*7 = 420 (i.e, they can pass a law every 60 weeks.)The number of opportunitites is the integer part of 1460/420, which is three.

- alberbra -
**Alex**, Sunday, July 27, 2008 at 7:11pm
thank-you very much

## Answer This Question

## Related Questions

- government - the connecticut compromise called for a legislature made up of: two...
- governmnent - the framers of the constitution favored bicameralism because a. ...
- Accounts payables - on january 1, 1996 a company paid for auto insurance. the ...
- Healthcare Economics - Your president bought two acres of land for $200,000 ten ...
- English Expression - Number 5, stand up. Come to the black board. Pick up a ...
- math - a 40 year building programme for new houses began in 1951(year 1) and ...
- history - the ____ act required king______ 1 to convene parliament every three ...
- math plz help - man on 12m tower, he observed two houses. the angle of ...
- trigometry - man on 12m tower, he observed two houses. the angle of depression ...
- Any Math Tutor Online? Help - man on 12m tower, he observed two houses. the ...

More Related Questions