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A grocery store ALREADY HAS 15 lbs of a mixture of nuts and dried fruit that is 10% banana chips. If they mix additional banana chips to bring the NEW mixture up to 25%, how many pounds of banana chips should they add?

 

                  lbs      *       %        =      lbs b.c

 

Old mix           

 

Add b.c 

 

New mix

 

 

This is a box problem but you can solve it without the box. I can figure the box part out. THANKS!

 May 7, 2019
 #1
avatar+19719 
+3

15 lbs * 10 %  = 1.5 lbs banana

  now add x lbs banana chips

1.5 + x lbs = 25% * (15 lbs + x lbs)

1.5 + x = 3.75 + .25 x     solve for x = 3 lbs banana chips

 May 7, 2019
 #2
avatar+1112 
+1

im sorry but im confused again

SmartMathMan  May 7, 2019
 #3
avatar+19719 
+1

You asked for the solution and you would do the box part....the solution is add 3 lbs of banana chips to the original 15 lb mixture to get 18 pounds of 25% banana chips.....     OK now?   cheeky

ElectricPavlov  May 7, 2019
 #4
avatar+1112 
+1

Yes but i didn't realize how hard the box part was. how did you get 3 lbs?

SmartMathMan  May 7, 2019
edited by SmartMathMan  May 7, 2019
 #5
avatar+19719 
+1

I THINK this is the box part:

 

old mix      15       10   = 1.5

add bc        3       100 =  3

new mix     18       25   = 4.5

ElectricPavlov  May 7, 2019
edited by ElectricPavlov  May 7, 2019
 #6
avatar+1112 
+1

Could you show me how you got 3??

SmartMathMan  May 7, 2019
 #7
avatar+19719 
+2

original amount of banana chips = 10% x 15 lbs = 1.5 pounds

add x pounds of banana chips......   now you have   1.5 + x  lbs of banana chips in the mix

    the final mix has the same amaount of banana chips

       the final mix is 25% banana chips     the final weight is  15 + x  

            so the final amount of banana chips is  .25(15+x)....

                 and as stated above, this equals     1.5 + x

sooooo   1.5 + x = .25(15+x)       solve this for x......you will find x = 3 lbs

 May 7, 2019
 #8
avatar+1112 
+1

HOW DID YOU GET 3 it makes no sense from 1.5 + x = 375 + .25 

 

 

 

I GOT NINE DAMNIT!!! WHAT IS WRONG WITH ME!!!!

SmartMathMan  May 7, 2019
edited by SmartMathMan  May 7, 2019
edited by SmartMathMan  May 7, 2019
 #9
avatar+716 
0

SMM did you try the calculator? Cause if you plug in all of the values in the websites calculator it comes up with x=3.

ilovepuppies1880  May 7, 2019
 #10
avatar+1112 
0

HOW????? the website calculator gave me 9. something

SmartMathMan  May 7, 2019
edited by SmartMathMan  May 7, 2019
 #11
avatar+716 
+2

Put in you should get \(x = 3\)

\(1.5 + x = .25(15+x) \)

ilovepuppies1880  May 7, 2019
 #12
avatar+19719 
+2

C'mon....you can do this....

1.5 + x = .25 (15+x)

1.5 + x = 3.75 + .25x 

.75x = 2.25

x = 3

ElectricPavlov  May 7, 2019

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