SOLUTION: A conference spent $108 on 154 servings of cantaloupe and honeydew. If a cantaloupe melon costs $3 and serves four while a honeydew melon costs $4 and serves six, how many honeydew

Question 1167810: A conference spent $108 on 154 servings of cantaloupe and honeydew. If a cantaloupe melon costs $3 and serves four while a honeydew melon costs $4 and serves six, how many honeydew melons did the organizers buy?
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
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A conference spent $108 on 154 servings of cantaloupe and honeydew. If a cantaloupe melon costs $3 and serves four
while a honeydew melon costs $4 and serves six, how many honeydew melons did the organizers buy?
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Let x = the number of honeydew servings.

Then the number of the cantaloupe servings is (154-x).


Each single honeydew   serving costs  =   dollars;

Each single cantaloupe serving costs   dollars.


Write the money equation


     = 108  dollars.


Multiply both sides by 12


    8x + 9*(154-x) = 12*108.


From the equation

  
    x =  = 90.


90 honeydew servings means   = 15  honeydew mellons.


ANSWER.  15  honeydew mellons.

Solved.

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