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

230-155= 75

75/15 is 5

Therefore the answer is 5 weeks

Answer 2

3 weeks

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