Respuesta :

Hello There!

105 - 90 = 15kg
500g = 1/2 kg
Peter is 15kg overweight.
15 x 2 = 30
It will take him 30 weeks for this.

Hope This Helps You!
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First I would turn 500g into kg and then set up an equation like the following.

So lets convert 500g to kg. We do this by using a conversion factor.
 [tex]1g = 0.001kg = 1g:0.001kg = \frac{0.001kg}{1g}[/tex]


Now that we know this conversion factor lets set it up.

[tex]500g \times \frac{0.001kg}{1g} = 0.5kg = \frac{1}{2}kg [/tex]

Ok now we know Peter wants to lose 0.5 kg or [tex]\frac{1}{2}kg[/tex] a week.



Peter wants to lose 1/2 kg a week so we use x for weeks

Lost of weight per week 
[tex] \frac{1}{2}x [/tex]

Next, it tells us that Peter wants to be 90 kg. So he needs to lose 15kg. 
105 - 90 = 15kg

Now we need to find out how many weeks will it be untill he is 15kg. So, Lost of weight per week = 15kg

[tex] \frac{1}{2}x = 15 [/tex]
Now solve for x in [tex] \frac{1}{2}x = 15 [/tex]

[tex] \frac{1}{2}x = 15 [/tex]
[tex] 2 \times \frac{1}{2}x = 15 \times 2[/tex]
[tex] x = 30 [/tex]
So it will take 30 weeks at 1/2kg a week to lose 15kg


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