SOLUTION: 70 oz of potpourri that is 80% lavender are combined with a potpourri that is 60% lavender. The resulting potpourri is 74% lavender. How much of the potpourri that is 60% lavender

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: 70 oz of potpourri that is 80% lavender are combined with a potpourri that is 60% lavender. The resulting potpourri is 74% lavender. How much of the potpourri that is 60% lavender       Log On


   



Question 162415: 70 oz of potpourri that is 80% lavender are combined with a potpourri that is 60% lavender. The resulting potpourri is 74% lavender. How much of the potpourri that is 60% lavender is used?
Answer by nerdybill(7384) About Me  (Show Source):
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70 oz of potpourri that is 80% lavender are combined with a potpourri that is 60% lavender. The resulting potpourri is 74% lavender. How much of the potpourri that is 60% lavender is used?
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Let x = amount of 60% lavender
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.80(70) + .60x = .74(70+x)
.80(70) + .60x = .74(70+x)
56 + .60x = 51.8 + .74x
56 = 51.8 + .14x
56 = 51.8 + .14x
4.2 = .14x
30 oz = x (amount of 60% lavender)