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!
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
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?
Yes but i didn't realize how hard the box part was. how did you get 3 lbs?
I THINK this is the box part:
old mix 15 10 = 1.5
add bc 3 100 = 3
new mix 18 25 = 4.5
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
HOW DID YOU GET 3 it makes no sense from 1.5 + x = 375 + .25
I GOT NINE DAMNIT!!! WHAT IS WRONG WITH ME!!!!
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.
C'mon....you can do this....
1.5 + x = .25 (15+x)
1.5 + x = 3.75 + .25x
.75x = 2.25
x = 3