Tony and Marco both collect Pokemon Cards. Tony has 10 Pokemon Cards and

collects 4 new Pokemon Cards every week. Marco has 60 Pokemon Cards and

collects 2 new Pokemon Cards every week. After how many weeks will Tony and Marco have the same number of Pokemon Card

Respuesta :

Answer:

25 weeks

Step-by-step explanation:

Tony:

[tex]Base\ Amount = 10[/tex]

[tex]Additional = 4[/tex]

Marco

[tex]Base\ Amount = 60[/tex]

[tex]Additional = 2[/tex]

Required

Determine number of weeks where both will be equal.

Represent weeks with w.

For Tony, the expression is:

[tex]10 + 4w[/tex]

For Marco, the expression is:

[tex]60 + 2w[/tex]

To determine yhe number of weeks, we equate both expressions.

[tex]10 + 4w = 60 + 2w[/tex]

Collect Like Terms

[tex]4w - 2w = 60 - 10[/tex]

[tex]2w = 50[/tex]

Solve for w

[tex]w = 50/2[/tex]

[tex]w = 25[/tex]

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