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Gary way to 184 pounds and plans on losing 4 pounds each month Isabella waits 215 pounds and plan on losing 9 pounds per month if they stick to their plan how many months will it take for Isabella to wait to same as as

Answer :

Answer:

After 6.2 months Isabella weight will be same as Gary weight.

Step-by-step explanation:

Given:

Weight of Gary = 184 pounds

Losing pounds per month = 4

Weight of Isabella = 215 pounds

Losing pounds per month = 9

We need to find how many months it take for Isabella to weight to same as Gary.

Solution:

Let the number of months be denoted by 'x'.

So we can say that;

Weight of Gary after x months will be equal to Weight of Gary minus Weight losing per month multiplied by number of months.

framing in equation form we get;

Weight of Gary after x months = [tex]184-4x[/tex]

Weight of Isabella after x months will be equal to Weight of Isabella minus Weight losing per month multiplied by number of months.

framing in equation form we get;

Weight of Isabella after x months = [tex]215-9x[/tex]

To find the number of months when both weight will be same we need to make both the equation same.

So we can say that;

[tex]184-4x=215-9x[/tex]

Combining like terms we get;

[tex]9x-4x=215-184\\\\5x= 31[/tex]

Dividing both side by 5 we get;

[tex]\frac{5x}{5}=\frac{31}{5}\\\\x= 6.2 months[/tex]

Hence After 6.2 months Isabella weight will be same as Gary weight.

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