Question

The manager of a candy shop sells chocolate covered peanuts for $8 per pound and chocolate covered cashews for $15 per pound. The manager wishes to mix 80 pounds of the cashews to get a mixture that will sell for $9 per pound. How many pounds of peanuts should be used?

Answer 1

Thank you so much!

Answer 2

yw

Answer 3

OK either I am not figuring this out right or just lost it since it is Monday :(
The choices we are given are 280, 240, 560, and 480 but when I figure the amount of peanuts I get 549 rounded off???

Answer 4

*number you want

Answer 5

thats what I did. which gave me 11.429 if divided and then subtract from 80 and multiply by 80?

Answer 6

so about 11.4 pounds of cashew and the rest, 68.6 pounds of peanuts

Answer 7

multiply by 8 sorry

Answer 8

hold on

Answer 9

Sorry word problems really confuse me

Answer 10

i screwed this all up because i read it wrong. i thought the total was 80 pounds but it is 80 pounds of cashews. so we have to start from the beginning
every thing i wrote is wrong

Answer 11

lol ok

Answer 12

we have 80 pounds of cashews, they are worth \(80\times 15=\$1200\)

Answer 13

you add \(x\) pounds of peanuts, they are worth \(8\times x\) so the total cost is
\[1200+8x\] and the total number of pounds is \(80+x\) which should cost $9 a pound, so we solve
\[1200+8x=9(80+x)\] for x

Answer 14

480

Answer 15

thank you

Answer 16

this should work
\[1200+8x=720+9x\]
\[1200-720=9x-8x\]
\[x=480\]

Answer 17

yeah it was better the second time. i jumped the gun
sorry

Answer 18

Its ok huge help tho!

Answer 19

Thanks agaiN!

Answer 20

yw for real this time