Reply
Wed 20 Jul, 2005 08:27 pm
Extensions of Proportion Problems
Question : I have to do a problem analysis for my advanced perspectives class. I need an extension to a proportion problem. Do you have any extensions of proportion problems that I could use for my problem analysis written below?
This is the problem I have to extend:
If 2/3 of a can of frosting can frost 1/2 cake, then how many cakes can be
frosted with 5 cans of frosting? The answer: 3 3/4
look at it htis way
the rational Icing/cake ratio is a constant
Icing/cake=(2/3)Icing/(1/2)cake=(2/3)/(1/2)=4/3
or 4/3 cans of icing per cake.
I got 5 cans of icing, If I can ice 1 cake with 4/3 cans of icing, I can ice 5/(4/3) cakes.
Rap
2/3 is to 1/2 as 5 is to ?
2/3
----- =
1/2
5
--
x
x =
5(1/2)
------- =
2/3
5/2
---- =
2/3
5(3)
----- =
2(2)
15/4 = 3 3/4