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Liz buys packets of coloured buttons

there are 8 red buttons in each packet of red buttons

there are 6 silver buttons in each packet of silver buttons

there are 5 gold buttons in each packet of gold buttons

Liz buys equal numbers of red buttons, silver buttons and gold buttons

how many packets of each colour of buttons did Liz buy?

Verified Answer :

Answer:

Below in bold.

Step-by-step explanation:

First we find the Lowest Common Multlple of  8, 6 and 5.

8 = 222

6 = 23

5

So the LCM is

2223*5        (there are only 3 2's because of duplicate 2's in the                            

                         expansion of 8 and 6).

=  120.

So she buys 120 of each button.

The red buttons come in packets of 8, so:

Number of packets of red = 120 / 8 = 15.

Number packets of silver = 120 / 6 = 20.

Number of packets of gold = 120/5 = 24.

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