Games
Problems
Go Pro!

All the King's Horses

Pro Problems > Math > Algebra > Functions > Arithmetic Sequences > Series
 

All the King's Horses

On the first day of his reign, which was a Monday, King Midas received 5 horses. On each successive day, he received 1 more horse than he received the previous day. After a week, he began turning horses to gold. First he turned 20 horses to gold, and then on each successive Monday, after receiving his daily horses, he turned 60 more horses to gold than he did the previous Monday.

How long will it take before all of the king's horses have been turned to gold?

Presentation mode
Problem by madelynK

Solution

In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.
Assign this problem
Click here to assign this problem to your students.

Similar Problems

Howard's Salary

Howard's salary increases by $1,500 every year. If he works for 25 years, he earns $1,262,500.

What was his original salary?

First Six Terms

The sum of the first 6 terms of an arithmetic series is 84. The sixth term is 19. What is the first term?

Overdue Library Books

Toby took out more than one, but fewer than ten books from the library on the same day, and they were all overdue by less than a week when he returned them all on the same day. The library charges a certain amount (which is less than a quarter) for the first day a book is overdue, and then on each successive day, an additional fee is applied, which is one cent more than the previous day's fine. Toby's fine for his library books was $4.75.

How much is the fine for the first day for one library book overdue?

Job's Trials

On the first day, one of Job's sheep died. On each day after that, one more sheep died than on the previous day.

On the second day, one of Job's cows died. On each day after that, two more cows died than on the previous day.

On the third day, one of Job's goats died. On each day after that, three more goats died than on the previous day.

If sheep a sheep costs $400, a cow costs $1200, and a goat costs $600, how much money had Job lost after 7 days?

Zero Sum

The sum of the first 9 terms of an arithmetic series is 0. The common difference is -2. What is the first term?

Tower of Blocks

150 blocks are stacked to make a tower. Each tier of the tower must have at least three more blocks than the tier above it. If the tower is made as tall as possible, with the fewest number of blocks, how many blocks will be left over?

Blogs on This Site

Reviews and book lists - books we love!
The site administrator fields questions from visitors.
Like us on Facebook to get updates about new resources
Home
Pro Membership
About
Privacy