Middle School

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Jon weighs 148 lbs and hopes to gain 2 lbs a week. Matt weighs 198 lbs and hopes to lose 1 lb a week. How many weeks until they weigh the same?

Answer :

Jon weighs 148 lbs and hopes to gain 2 lbs a week

Formula = 148 + 2(number of weeks)

=> 148 + 2(17)

=> 148 + 34

=> 182

Matt weighs 198 lbs and hopes to lose 1 lbs a week

Formula = 198 – 1(number of week)

=> 198 - 1(17)

=> 181

On the 17th week, they’re weight will almost the same. Because Jon
will weigh 182 lbs while Matt will weigh 181 pounds.

Not exactly the same but very close.




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Rewritten by : Barada

Let

x--------> the number of weeks

y--------> Jon weighs in lb

z--------> Matt weighs in lb

we know that

[tex] y = 148+2x [/tex] ----> equation [tex] 1 [/tex]

[tex] z = 198-x [/tex] ----> equation [tex] 2 [/tex]

equate equation [tex] 1 [/tex] and equation [tex] 2 [/tex]

[tex] 148+2x=198-x [/tex]

[tex] 2x+x=198-148 [/tex]

[tex] 3x=50 [/tex]

[tex] x=\frac{50}{3} =16.7\ weeks [/tex]

using a graph tool

see the attached figure

therefore

the answer is

On the [tex] 17 [/tex]th week