# SOLUTION: Please help me with some word problems. I have tried for several hours and cant figure out where to begin. A citrus fruit company plans to make 13.25 pound gift box of oranges

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 Click here to see ALL problems on Miscellaneous Word Problems Question 153481: Please help me with some word problems. I have tried for several hours and cant figure out where to begin. A citrus fruit company plans to make 13.25 pound gift box of oranges and grapefruit. Each box cost \$21. An orange weighs .5 pound and sells for \$.75. Each grapefruit weights .75 pounds and sells for \$1.25. How many oranges and grapefruit should be in each box? Thank you.Answer by ankor@dixie-net.com(15652)   (Show Source): You can put this solution on YOUR website!A citrus fruit company plans to make 13.25 pound gift box of oranges and grapefruit. Each box cost \$21. An orange weighs .5 pound and sells for \$.75. Each grapefruit weights .75 pounds and sells for \$1.25. How many oranges and grapefruit should be in each box? : Let x = no. of oranges Let y - no. of grapefruits : Write two equations, we will use substitution here: : The cost equation: .75x + 1.25y = 21 : The weight equation: .5x + .75y = 13.25 .5x = 13.25 - .75y Divide the equation by .5: x = (26.5 - 1.5y); Substitute this for x in the cost equation. find y: ; .75(26.5-1.5y) + 1.25y = 21 19.875 - 1.125y + 1.25y = 21 .125y = 21 - 19.875 .125y = 1.125 y = y = 9 grapefruits : Find x using equation .75x + 1.25y = 21 .75x + 1.25(9) = 21 .75x + 11.25 = 21 .75x = 21 - 11.25 .75x = 9.75 x = x = 13 oranges : : Check solutions in weight equation .5x + .75y = 13.25 .5(13) + .75(9) = 6.5 + 6.75 = 13.25; confirms our solutions : : Did this take some of the mystery out of this? Any questions?