SOLUTION: Colortime Bakers wants to make 30 pounds of a berry mix that costs $3 per pound to use in their pancake mix. They are using blueberries that cost $2 per pound and blackberries that

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Colortime Bakers wants to make 30 pounds of a berry mix that costs $3 per pound to use in their pancake mix. They are using blueberries that cost $2 per pound and blackberries that      Log On


   

Question 720564: Colortime Bakers wants to make 30 pounds of a berry mix that costs $3 per pound to use in their pancake mix. They are using blueberries that cost $2 per pound and blackberries that cost $3.50 per pound. How many pounds of blackberries should be used in this mixture?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The quantity M pounds of mixture at a price of T dollars per pound will be made using u pounds of an item at L dollars per pound and v pounds of another item at H dollars per pound. What are the u and v, their values (and formula)? In particular, what is the value for v?

highlight%28%28uL%2BvH%29%2FM=T%29 and highlight%28u%2Bv=M%29.

vH%2BuL=TM
vH%2B%28M-v%29L=TM
vH%2BML-vL=TM
v%28H-L%29%2BML=TM
v%28H-L%29=TM-LM
v%28H-L%29=%28T-L%29M
highlight%28v=%28T-L%29M%2F%28H-L%29%29.

Substitute the given values of T, L, M, H, to compute v.