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17 votes
17 votes
Weight

Weight
9. John mixed cashews and almonds.
Weight
John bought 4 pounds of almonds for a total cost of $22
The cost per pound for cashews is 60% more than the cost per
pound for almonds.
John bought enough cashews that, when he mixed them with the
almonds, the mixture had a value of $6.50 per pound
Approximately what percent of the mixture by weight was cashews?

User Gpeche
by
2.6k points

1 Answer

14 votes
14 votes

Answer:

30%

Explanation:

4 pounds of almonds is $22 --> 1 pound of almonds is $5.50

Cashew price per pound = 160/100 * $5.50. = $8.80

22 + 8.80x = 6.50(4+x)

22 + 8.80x = 26 + 6.50x

2.30x = 4

x = 1.739130435 approx 1.74 lbs of cashews

percent of the mixture, by weight, for cashews =

1.739130435 / (4 + 1.739130435) = 0.303030303 approx 30%

User Scott Griffiths
by
3.0k points