math teaser
Check this out:
Bethani walks into a store and buys four items, each item priced differently. As she leaves the store, she notices that the total (sum) of all four items is the same as the product of the same four items, which is $7.11/ Ignoring sales tax, what was the individual price of each item? good luck -Brent |
Re: math teaser
bethani is a tool for spelling her name with an I
|
Re: math teaser
$1.20, $1.25, $1.50, and $3.16
|
Re: math teaser
how did you solve this? can you please show me your work?
thanks -Brent |
Re: math teaser
I don't think there is an algebraic way to completely solve the problem.
You can start with the following. (assuming costs in cents) w*x*y*z = 711000000 w+x+y+z = 711 Finding factors of 711 711 = 3*3*79 w*x*y*z must be divisible by 3,9,and 79 At this point you can say one of the costs should be $0.79 or a multiple of that. When you divide $7.11 by $0.79 you get a whole number (9) Dividing by $1.58 you get 4.5, and dividing by $3.16 you get 2.25. This suggests that the other 3 prices are multiples of 5 cents. At that point it's trial and error or using some kind of solver function in a spreadsheet or calculator. |
All times are GMT -4. The time now is 05:34 PM. |
Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2024, vBulletin Solutions Inc.