Problem 1
Jayden has $11 and begins saving $5 each week
towards buying a new phone. At the same time that
Jayden begins saving, Aditi has $60 and begins
spending $2 per week on supplies for her art class.
Is there a week when they have the same amount of
money?
Yes
No

Respuesta :

Answer:

I'm thinking its a no because the money is odd every time Jayden adds $5

Step-by-step explanation:

Jayden has [tex]\$11[/tex] and begins saving [tex]\$5[/tex] per week.

Aditi has [tex]\$60[/tex] and begins spending [tex]\$2[/tex] per week.

Have x denote the number of weeks and y indicate the quantity each person has. Therefore, according to the stated conditions, the maximum amount Jayden will have after x weeks will be,

[tex]\to y = 11+5x[/tex]

Aditi will have [tex]y= 60-2x[/tex] after x weeks. Therefore, the number of weeks in which they will each have the same amount will be calculated as,

[tex]11+5x=60-2x\\\\5x+2x=60-11\\\\7x=49\\\\x=\frac{49}{7}\\\\x=7[/tex]

As a result, after 7 weeks, Lin and Diego will have the same amount, which is [tex]\$46[/tex].

Learn more:

brainly.com/question/11925965