Answer:
Let x represents the week and y represents the amount of money.
As per the given statement:
Diego has $11 and begins $5 each week toward buying a new phone.
⇒[tex]y = 11 + 5x[/tex] ......[1]
It is also given that Lin $60 and begins spending $2 per week.
⇒[tex]y = 60 - 2x[/tex] ....[2]
when they have the same amount.
equate [1] and [2] we get;
[tex]11+5x = 60 - 2x[/tex]
Add both sides 2x we get;
[tex]11+7x = 60[/tex]
Subtract 11 from both sides we get;
[tex]7x= 49[/tex]
Divide both sides by 7 we get;
x = 7
Substitute the value of x = 7 in [1] we have;
[tex]y = 11 + 5(7) = 11 + 35= \$46[/tex]
Therefore, at x= 7 week they have the same amount of money and they have the amount at that time, $ 46
After 7 weeks, Lin and Diego will have the same amount which is $46.
Given:
Diego has $11 and begins saving $5 each week.
Lin has $60 and begins spending $2 per week.
Let x be the number of weeks and y represents the amount each person has.
Now, based on the given condition, the amount which Diego will have after x weeks will be,
[tex]y = 11 + 5x[/tex]
The amount which Lin will have after x weeks will be,
[tex]y = 60 - 2x[/tex]
Now, the number of week at which they both will have same amount will be calculated as,
[tex]11 + 5x = 60 - 2x \\ 7x = 49 \\ x = 7[/tex]
Therefore, after 7 weeks, Lin and Diego will have the same amount which is $46.
For more details, refer to the link:
https://brainly.com/question/22122594
