charleehart919
contestada

Acellus
Meg has 11 hats and she buys 1 new hat
every month. Fanny has 1 hat, but plans
to buy 3 every month. How many months (m)
will it be until Fanny has as many hats as Meg?
h = m +11
h = 3m +1
[?] months
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Acellus Meg has 11 hats and she buys 1 new hat every month Fanny has 1 hat but plans to buy 3 every month How many months m will it be until Fanny has as many h class=

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carissaberger0
i believe it would be 5.

if you plug in five to both equations:

h=5+11
h=3(5)+1

they both equal 16. so they will both have 16 hats after 5 months. :-)
  • h=m+11
  • h=3m+1

[tex]\\ \sf\Rrightarrow m+11=3m+1[/tex]

[tex]\\ \sf\Rrightarrow m-3m=1-11[/tex]

[tex]\\ \sf\Rrightarrow -2m=-10[/tex]

[tex]\\ \sf\Rrightarrow m=-10/-2 [/tex]

[tex]\\\sf \Rrightarrow m = 5[/tex]

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