Question

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?

Answer 1

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

Answer 2

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 = (3*7)/(2*8)lb = 21/16lb

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

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