Answer:
3 weeks
Step-by-step explanation:
Given: Hayley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week, and her brother is spending $15 each week.
To Find: After how many weeks will their saving accounts have the same amount of money in them
Solution:
Savings of Hayley [tex]=\$155[/tex]
Savings of Hayley's brother [tex]=\$230[/tex]
savings hayley per week [tex]=\$10[/tex]
spending of Hayley's brother per week [tex]=\$15[/tex]
let the number of weeks are [tex]=\text{x}[/tex]
Amount hayley has after [tex]\text{x}[/tex] [tex]\text{week}[/tex]
[tex]=155+10\text{x}[/tex]
Amount hayley's brother has after [tex]\text{x}[/tex] [tex]\text{week}[/tex]
[tex]=230-15\text{x}[/tex]
now,
[tex]\text{amount in hayley's savings} = \text{amount in hayley's brother's savings}[/tex]
[tex]155+10\text{x}=230-15\text{x}[/tex]
[tex]25\text{x}=75[/tex]
[tex]\text{x}=3[/tex]
After three weeks hayley and his brother have the same amount in their savings account
