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
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?
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
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.