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

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) (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?
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0.5p + 1.75m <= 350
p = m + 50
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Substitute for "p" and solve for "m"::
0.5(m+50) + 1.75m <= 350
0.5m + 25 + 1.75m <= 350
2.25m <= 325
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m <= 144.44
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# of mangoes:: 144 lb
# of lb of peaches:: m+50 = 194 lb
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Cheers,
Stan H.
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