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harkovskaia [24]
3 years ago
8

A recipe calls for mixed nuts with 50% peanuts. 1/2 pound of 15% peanuts has already been used. How many pounds of 75% peanuts n

eeds to be added to obtain the 50% mix?
Mathematics
1 answer:
Galina-37 [17]3 years ago
6 0
Now you have
<u />
<u>(.15)0.5 lb peanuts</u>     =     <u>0.075 lb peanuts</u>
0.5 lb  nuts                              0.5 lb nuts

for every pound of 75% mixed nuts you add, you get .75 lb peanuts, how many pounds, x, do you need to add to get the ratio 50 to 100?

<u>0.075 lb peanuts + 0.75x lb peanuts</u><em>       =    <u /></em><u>   50   </u><u>
</u>0.5 lb nuts + x lb nuts                                      100

cross multiply

(0.075 + .75x) 100 = (0.5 + x) 50
7.5 + 75x = 25 + 50x
25x = 17.5
x = 0.7 lb of 75% peanuts

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