SOLUTION: A fruit market must spend less than $350 for an order of peaches and mangoes. A pound of peaches costs $0.50 and a pound of mangoes costs $1.75. This relationship is shown in the

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A fruit market must spend less than $350 for an order of peaches and mangoes. A pound of peaches costs $0.50 and a pound of mangoes costs $1.75. This relationship is shown in the       Log On


   

Question 1075251: A fruit market must spend less than $350 for an order of peaches and mangoes. A pound of peaches costs $0.50 and a pound of mangoes costs $1.75. This relationship is shown in the graph. The market needs at least 50 more pounds of peaches than mangoes. Which choice is a reasonable solution?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A fruit market must spend less than $350 for an order of peaches and mangoes. A pound of peaches costs $0.50 and a pound of mangoes costs $1.75. This relationship is shown in the graph. The market needs at least 50 more pounds of peaches than mangoes. Which choice is a reasonable solution?
=========
0.5p + 1.75m <= 350
p = m + 50
-------------------
Substitute for "p" and solve for "m"::
0.5(m+50) + 1.75m <= 350
0.5m + 25 + 1.75m <= 350
2.25m <= 325
---
m <= 144.44
--------------------
# of mangoes:: 144 lb
# of lb of peaches:: m+50 = 194 lb
----------
Cheers,
Stan H.
-----------