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The Ratio of reds to greens was 4 to 11 and 60 percent of the greens exceeded the number of reds by 52. How many were red and how many were green?

Please show how to solve. Thanks!

 Feb 2, 2016

Best Answer 

 #2
avatar+129850 
+10

Good job, Hayley.......!!!!!!..........let's confirm her answer

 

Reds / Greens =  4/11   so

 

Reds = Greens*(4/11)

 

 

And we have that

 

.60Greens  - Reds  = 52

 

(6/10)Greens - (4/11)Greens  = 52

 

(3/5)Greens - (4/11)Greens  = 52

 

([33 - 20]/55 ) Greens  = 52

 

[13/55]Greens = 52    multiply both sides by  55/13

 

Greens  = [52/13]*55  = 4*55  = 220

 

And the Reds  = 4/11 of this = 80

 

And .60(220) - 80  =  52

 

Just as Hayley found  !!!!!  [ 5 pts. from me......]

 

 

 

cool cool cool

 Feb 2, 2016
 #1
avatar+8581 
+10

The Ratio of reds to greens was 4 to 11 and 60 percent of the greens exceeded the number of reds by 52. How many were red and how many were green?

 

 You can form two equations: 
green*0.6 - red = 52 ...........(1) 
green / red = 11/4 ...........(2) 

from (2) red = 4*green/11 and then substitute red into (1) to solve for green. 

you'll get green = 110*52/26 = 220 and use 220/11 to get red =20.

 Feb 2, 2016
 #2
avatar+129850 
+10
Best Answer

Good job, Hayley.......!!!!!!..........let's confirm her answer

 

Reds / Greens =  4/11   so

 

Reds = Greens*(4/11)

 

 

And we have that

 

.60Greens  - Reds  = 52

 

(6/10)Greens - (4/11)Greens  = 52

 

(3/5)Greens - (4/11)Greens  = 52

 

([33 - 20]/55 ) Greens  = 52

 

[13/55]Greens = 52    multiply both sides by  55/13

 

Greens  = [52/13]*55  = 4*55  = 220

 

And the Reds  = 4/11 of this = 80

 

And .60(220) - 80  =  52

 

Just as Hayley found  !!!!!  [ 5 pts. from me......]

 

 

 

cool cool cool

CPhill Feb 2, 2016
 #3
avatar+8581 
+5

Thank you :D

 Feb 2, 2016
 #4
avatar
+10

The Ratio of reds to greens was 4 to 11 and 60 percent of the greens exceeded the number of reds by 52. How many were red and how many were green?

Please show how to solve. Thanks!

 

Let the number of Reds=R

Number of greens=11/4R

.60(11/4)R - R =52, so we have:

Reds=80

Greens=220

 

Solve for R: 0.65 R = 52 Divide both sides of 0.65 R = 52 by 0.65: (0.65 R)/0.65 = 52/0.65 0.65/0.65 = 1: R = 52/0.65 52/0.65 = 80.: Answer: | | R = 80.

 Feb 2, 2016

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