tyronne has $60,his sister has $135 ,they get $5 each week ,tyronne saves his money ,while his sister spends hers ,they get additional $10 each week ,in how many weeks will they have the same amount?

Respuesta :

Answer:

In 5 weeks they will have the same amount.

Step-by-step explanation:

1. You have that Tyronne has $60, she gets $5 each week and also gets an additional $10 each week. She saves her money. Therefore, you can write the following expression:

[tex]60+5x+10x\\60+15x[/tex]

Where [tex]x[/tex] is the number of weeks.

2. Her sister has $135, she gets $5 each week and also gets an additional $10 each week, but she spends this money. Therefore:

[tex]135+5x+10x-5x-10x\\135[/tex]

3. If this amounts of money will be equal, you have:

[tex]60+15x=135\\15x=75\\x=5[/tex]

4. Therefore, in 5 weeks they will have the same amount.

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