Question

By how much peter is overweight he is 105 kg his aim is to lose 500 g per week if he manages this how many weeks will it be until he is 90 kg

Answer 1

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.

`1g = 0.001kg = 1g:0.001kg = (0.001kg)/(1g)`


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


`500g * (0.001kg)/(1g) = 0.5kg = (1)/(2)kg`

Ok now we know Peter wants to lose 0.5 kg or
`(1)/(2)kg` a week.



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

Lost of weight per week

`(1)/(2)x`

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


`(1)/(2)x = 15`
Now solve for x in
`(1)/(2)x = 15`


`(1)/(2)x = 15`

`2 * (1)/(2)x = 15 * 2`

`x = 30`
So it will take 30 weeks at 1/2kg a week to lose 15kg

Answer 2

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!
Good Luck :)