Question

A store sells bags of peanuts in 1 1/4–pound packages. How much does 1/3 a package weigh?

How much do 2 1/3packages weigh?

Answer 1

1. 5/12

2. 2 11/12

Step-by-step exlpanation:

1/3 x 1 1/4 = 5/12

2 1/3 x 1 1/4 = 2 11/12

hope this helps!

Answer 2

a) Weight of 1/3 pack of peanuts =
`(1(1)/(4)  * (1)/(3) )` pounds.

b) Weight of
`(2(1)/(3) )`bag of peanuts is
`(2(11)/(12))` pounds.

Explanation:

The weight of 1 bag of peanuts =
`1(1)/(4)` pounds

Solving the mixed fraction, we get the weight of 1 bag =
`1(1)/(4)  = (5)/(4)` pounds

Now, weight of 1/3 bag =
`((5)/(4) )/(3 )  = (5)/(4)  * (1)/(3)`

or, the weight of 1/3 pack of peanuts =
`(1(1)/(4)  * (1)/(3) )` pounds.

Now, the weight of
`2(1)/(3)  = (7)/(3)` bag of peanuts is

`((5)/(4) )/((7)/(3) )   = (5)/(4)  * (3)/(7)`

⇒
`(35)/(12)  = 2(11)/(12)`

Hence, the weight of
`(2(1)/(3) )`bag of peanuts is
`(2(11)/(12))` pounds.