Question

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. After how many weeks will their saving accounts have the same amount of money in them?

Answer 1

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 $=\ 155$

Savings of Hayley's brother $=\ 230$

savings hayley per week $=\ 10$

spending of Hayley's brother per week $=\ 15$

let the number of weeks are $=\text{x}$

Amount hayley has after $\text{x}$ $\text{week}$

                                                  $=155+10\text{x}$

Amount hayley's brother has after $\text{x}$ $\text{week}$

                                                  $=230-15\text{x}$

now,

$\text{amount in hayley's savings} = \text{amount in hayley's brother's savings}$

           $155+10\text{x}=230-15\text{x}$

           $25\text{x}=75$

           $\text{x}=3$

After three weeks hayley and his brother have the same amount in their savings account

Answer 2

230-155= 75

75/15 is 5

Therefore the answer is 5 weeks