How many pounds of cashew nuts worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to make a mixture worth $1.00 a pound?

Which of the equations could be used to solve for p, the pounds of cashew nuts?

75p + 150(10) = 100(p + 10)
75(p + 10) + 150(10) = 100(p + 10)
75p + 150 = 100(p + 10)

Question

How many pounds of cashew nuts worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to make a mixture worth $1.00 a pound?

Which of the equations could be used to solve for p, the pounds of cashew nuts?


75p + 150(10) = 100(p + 10)
75(p + 10) + 150(10) = 100(p + 10)
75p + 150 = 100(p + 10)

anonymous · Answer

to get per pound, we compare price for some pound
divided by pound

price for 5 pound
------------    = price per pound
5 pound

anonymous · Answer

to get a per pound basis, please fill in denominator

p x $0.75 + 10 x $1.50
---------------------  = price per pound
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anonymous · Answer

100(p+10)

anonymous · Answer

yes :)

anonymous · Answer

you just multiply the denominator on both sides

anonymous · Answer

is the first answer my answer then...75p + 150(10) = 100(p + 10)

anonymous · Answer

indeed

we have 10x 150 pennies, that is given
and we have p x 75 pennies

both together make the total cost
both together (p+10) make the total weight

anonymous · Answer

(p - peanut)

anonymous · Answer

thank u sooo much for the help.....

anonymous · Answer

you're welcome ;)