View Full Version : Math word problmes
fabian2000
Oct 10, 2011, 02:29 PM
"I have 32 leaves, elm maple and oak. I have 2 times as many maple leaves as elm leaves and 5 times as manu oak leaves as elm leaves how many do I have of each?"
Curlyben
Oct 10, 2011, 02:32 PM
So this is a simple case of some equations and then simplification.
Do you know what the equations should be ?
The statements give you 3 equations that just need solving.
I'll give you the first one.
e+m+o=32
hidden123
Oct 11, 2011, 02:07 PM
5x + 2x = 32
10x = 32..
3.2 leaves for each?
Unknown008
Oct 12, 2011, 02:27 AM
Ratio of maple:elm = 2:1
oak:elm = 5:1
Combined, they become = 2:1:5 (for maple:elm:oak)
For a total of 8 parts.
Hence, maple = 2/8*32
elm = 1/8*32
oak = 5/8*32
hidden123
Oct 12, 2011, 06:50 AM
I was wrong... here's the equation:
Let x be the number of elm leaves. Then 2x is the number of maple leaves because you have twice as many. 5x is the number of oak leaves because you have 5 times as many. So... The total number of leaves is x + 2x + 5x = 32, or 8x = 32. 32 divided by 8 is 4 so x is 4 and you have 4 elm leaves (x, remember?) 8 maple (2x) and 20 oak (5x)
Makes sense?
hidden123
Oct 12, 2011, 06:53 AM
Unknown008 - you did it in a totally different way - and you have the same result. Cool :)
Unknown008
Oct 12, 2011, 06:56 AM
Yes, sometimes the easy 6th grade ratio is forgotten :)