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The ratio of mango trees to guava trees to avocado trees in an orchard is 5:2:8. If there are 1,245 trees in the orchard. how many avocado trees are there?

2007-07-10 01:16:03 · 9 answers · asked by Anonymous in Science & Mathematics Mathematics

9 answers

let x = number of mango trees
then 2/5 x = number of guava trees
and 8/5 x = number of avacado trees

x + 2/5 x + 8/5 x = 1245
x + 10/5 x = 1245
3x = 1245
x = 415
2/5 x = 166
8/5 x = 664

so number of avacado trees = 664

2007-07-10 01:25:05 · answer #1 · answered by Dr W 7 · 1 0

Add up the numbers in the ratio 5:2:8
5+2+8 = 15
You can therefore split the trees up into 15 groups, each group contains 1245/15 = 83 trees.

5 groups of Mango trees: 83 * 5 = 415 trees
2 groups of Guava trees: 83 * 2 = 166 trees
8 groups of Avocado trees: 83 * 8 = 664 trees

2007-07-10 08:23:55 · answer #2 · answered by Nick J 4 · 0 0

Number of Avocado trees = 8 x 1245 / 15 = 664

Number of Guava trees = 2 x 1245 / 15 = 166

Number of Mango trees = 5 x 1245 / 15 = 415

See that they add up to 1245. So, answer is correct.

2007-07-10 08:22:37 · answer #3 · answered by Swamy 7 · 0 0

Mango: 5/15 * 1,245 = 415
Guava: 2/15 * 1,245 = 166
Avocado: 8/15 * 1,245 = 664

Avocado is the final answer, 664..

Proof:
415 + 166 + 815 = 1245

2007-07-14 04:22:05 · answer #4 · answered by Jun Agruda 7 · 2 0

Well , 1st pick a variable... say x for example then do the equation , 5x + 2x + 8x = 1245, then add it to mae 15x=1245... then divide 1245 by 15 and that is what x = 83 then take 8x = 8 (83) There are 664 avacado trees !

2007-07-10 08:20:47 · answer #5 · answered by Ren B 1 · 0 0

5:2: 8 ~ 15, 5t+2t+8t=1245 , t=1245/15 = 83 , 5*83=415=5t= Mango trees, 2*83=166 =2t= Guava trees, 8*83=664=8t=Avacado trees

2007-07-10 08:32:32 · answer #6 · answered by mathman241 6 · 0 1

let the mango trees be 5x
guava be 2x
nd avocado be 8x
so
5x+2x+8x=1245
15x=1245
x=1245/15
x=83

then avocado=8*83
=664
hope this helps u

2007-07-10 08:39:19 · answer #7 · answered by Anonymous · 0 0

5x+2x+8x = 1245
15x = 1245
x = 1245/15
x = 83

5 * 83 = 415
2 * 83 = 166
8 * 83 = 664

415 + 166 + 664 = 1245

2007-07-10 08:24:06 · answer #8 · answered by Contented 6 · 0 0

add up the numbers of units here.Here it is 5+2+8=15.
So 15 units--------->1245 trees.
1 unit ----------> 83 trees
8 units----------> 664 avocado trees.
----------------------
So there is 664 avocado trees in the orchard.

2007-07-10 08:23:58 · answer #9 · answered by Kenneth Koh 5 · 0 0

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