Question

Jeter has $60 in his savings account. His sister Callie has $125. Jeter plans on saving $5

of his allowance a week, while Callie plans on spending $10 each week. Which of the
following would be an equation you could use to find out when the two will have the
same amount of money.

Answer 1

60 + 5x = 125 - 10x

Explanation:

Jeter- 60 + 5x

Callie- 125 - 10x

Set them equal to each other to find out when they will equal the same amount

Answer 2

The answer can be expressed in multiple forms

`4.\overline3\overline3` weeks

`4(1)/(3)` weeks

Explanation:

Lets write down what we are given

Jeter Initial Amount = $60.00

Callie Initial Amount = $125.00

Deposit/Withdrawal Per Week

Jeter + $5.00

Callie - $10.00

We can set up an expression for Jeter's money

`60+5w`

We can set up an expression for Callie's money

`125-10w`

`w` represents the number of weeks

We can set each expression equal to each other to find out when they will have the same amount of money.

`60+6w=125-10w`

Lets solve for
`w`.

Add
`10w` to both sides of the equation.

`60+5w+10w=125-10w+10w`

Combine like terms and simplify.

`60+15w=125`

Subtract 60 from both sides of the equation.

`60+15w-60=125-60`

Evaluate the subtraction and simplify..

`15w=65`

Divide both sides of the equation by 15.

`(15w)/(15)=(65)/(15)`

Simplify the left side by cancelling the common factor of 15.

`w=(65)/(15)`

`w=(13)/(3)`

`w=4.3333`

`w=4(1)/(3)`