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

Answer:

a) Weight of 1/3 pack of peanuts = $(1\frac{1}{4}  \times \frac{1}{3} )$ pounds.

b) Weight of $(2\frac{1}{3} )$bag of peanuts is $(2\frac{11}{12})$  pounds.

Step-by-step explanation:

The weight of 1 bag of peanuts = $1\frac{1}{4}$ pounds

Solving the mixed fraction, we get the weight of 1 bag = $1\frac{1}{4}  = \frac{5}{4}$  pounds

Now, weight of 1/3 bag = $\frac{\frac{5}{4} }{3 }  = \frac{5}{4}  \times \frac{1}{3}$

or, the weight of 1/3 pack of peanuts = $(1\frac{1}{4}  \times \frac{1}{3} )$ pounds.

Now,  the weight of $2\frac{1}{3}  = \frac{7}{3}$  bag of peanuts is

$\frac{\frac{5}{4} }{\frac{7}{3} }   = \frac{5}{4}  \times \frac{3}{7}$

⇒$\frac{35}{12}  = 2\frac{11}{12}$

Hence,  the weight of $(2\frac{1}{3} )$bag of peanuts is $(2\frac{11}{12})$ pounds.

Answer 2

Answer:

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!