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Kalon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of weeks Kalon will need to save to reach his goal?

Respuesta :

Zakoian
700-175=525
525:35=15
He must save $35 during 15 weeks to have his new computer

Answer:

15 weeks.

Step-by-step explanation:

Let w represent number of weeks.

We have been given that Kalon can save $35 per week, so amount saved in w weeks would be [tex]35w[/tex].

Kalon has $175, so total amount saved by Kalon after w weeks would be [tex]35w+175[/tex].

Since Kalon needs to save at least $700 for a new computer, so his total savings should be greater than or equal to 700.

We can represent this information in an inequality as:

[tex]35w+175\geq 700[/tex]

[tex]35w+175-175\geq 700-175[/tex]

[tex]35w\geq 525[/tex]

[tex]\frac{35w}{35}\geq \frac{525}{35}[/tex]

[tex]w\geq 15[/tex]

Therefore, Kalon will have to save at-least for 15 weeks to reach his goal.