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Bryce bought a bag of cashews.he served 7/8 pound of cashews at a party. This amount represents 2/3 of the entire bag. The equation 2/3n =7/8 can be used to find the number of pounds n in a full bag how many pounds of cashews were in the bag Bryce bought?

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raymondtini2468

ok so for this problem you you divide 2/3 n by 2/3 and 7/8 by 2/3
you get \(n= \frac{7}{8} / \frac{2}{3}\)
to divide fraction you flip the divider over to find the reciprocal
2/3 > 3/2 also you change the division symbol to the multiplication symbol
the equation now is \(n= \frac{7}{8} * \frac{3}{2}\)
now you multiply to get 21/16 
the answer is 1 5/16 after you simplify it

facundo3141592

Answer: Hello there!

We know that 7/8 lb is equivalent to 2/3 of the entire bag, then the equation to find the number of pounds in the original bag is:

(2/3)n = 7/8lb

and we want to find the number n.

The first step is divide both sides of the equation by 2/3 (or multiply both sides by 3/2 )

then

(3/2)(2/3)n = (3/2)(7/8)lb

n = (37)/(28)lb = 21/16lb

now we can "break" the 21 in 16 + 5

n = (21/16)lb = (16 + 5)/16lb = (1 + 5/16)lb

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