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how would I work out this question?
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?

Sagot :

Answer:

Below in bold.

Step-by-step explanation:

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

8 = 2*2*2

6 = 2*3

5

So the LCM is

2*2*2*3*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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