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Takuya's parents gave him $ 1 0 0 $100dollar sign, 100 as a birthday gift. Since he loves board games, he spent $ 2 0 $20dollar sign, 20 out of his present on board games at the end of each month until his money ran out.

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mackado3
He spent all of his money on board games in five months. :) Hope this helps

we are given

Takuya's parents gave him $100

so,

total money =$100

he spent $20 out of his present on board games at the end of each month

It means that

money spent in 1 month is $20

Let's assume he takes 'x' months

so, total money spent = money spent in 1 month* total number of months

so, we get

total money spent = [tex] 20*x [/tex]

total money spent = [tex] 20x [/tex]

now, we can set it to 100

[tex] 20x=100 [/tex]

now, we can solve for x

divide both sides by 20

[tex] \frac{20x}{20} =\frac{100}{20} [/tex]

[tex] x=5 [/tex]

so, total number of months is 5 .............Answer

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