Question

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