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!

SmartMathMan May 7, 2019

#1**0 **

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

ElectricPavlov May 7, 2019

#3**0 **

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?

ElectricPavlov
May 7, 2019

#4**+1 **

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

SmartMathMan
May 7, 2019

#5**0 **

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

#7**0 **

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

ElectricPavlov May 7, 2019

#8**+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

#9**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

#12**0 **

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