Question

Chad buys peanuts in 2-pound bags.He repackages them into bags that hold 5/6 pound of peanuts.How many 2-pound bags of peanuts should Chad buy so that he can fill the 5/6-pound bags without having any peanuts left over?

Answer 1

take LCM 5 and 12 by multiplying 6.
hcf is 60.thus he need 60 bags

Answer 2

Chad has to buy 5 2-pound bags so that he can fill the 5/6 pound bags without having any peanuts left.

Step-by-step explanation:

Given :

Chad buys peanuts in 2 pound bags

Repacked them in bags holding 5/6 pound of peanuts.

To find :

No. of 2 pound bags in such a way that he can fill 5/6 pound bags without any peanuts left.

To get the desired value we need to get a whole number and not a fraction.

$\frac{5}{6} + \frac{5}{6} = \frac{10}{6}$

$\frac{10}{6} + \frac{5}{6} = \frac{15}{6}$

$\frac{15}{6} +\frac{5}{6} = \frac{20}{6}$

$\frac{20}{6} +\frac{5}{6} = \frac{25}{6}$

$\frac{25}{6} +\frac{5}{6} = \frac{30}{6} = 5$

∴ Chad has to buy 5 2-pound bags so that he can fill the 5/6 pound bags without having any peanuts left.

To Learn More...

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