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Westley and Buttercup are each saving money. Westley starts with $85 in in his savings and add $5 per week (y=85+5x)

Buttercup starts with $10 in her savings account and adds $20 per week (y=10+20x)

After how many weeks will they have the same amount of money?

Respuesta :

xKelvin

Answer:

After 5 weeks.

Step-by-step explanation:

Westley starts with $85 and saves $5 per week. So:

[tex]y=85+5x[/tex]

Buttercup starts with $10 and saves $20 per week. So:

[tex]y=10+20x[/tex]

When they have the same amount of money, the two equations will be equal to each other. Therefore:

[tex]85+5x=10+20x[/tex]

Solve for x. Subtract 10 from both sides:

[tex]75+5x=20x[/tex]

Subtract 5x from both sides:

[tex]75=15x[/tex]

Divide both sides by 15:

[tex]x=5[/tex]

Westley and Buttercup will have the same amount of money after 5 weeks.

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