Question

Daniel spent half of his weekly allowance on candy. To earn more money his parents let him wash the car for $5. What is his weekly allowance if he ended up with $10?

Answer 1

$ 10

Explanation:

Let Daniel's weekly allowance be
`x` dollars.

Money spent on Candy =
`(1)/(2)* x=(x)/(2)`

Money left with Daniel after spending on Candy is equal to:

`x-(x)/(2)=(2x-x)/(2)=(x)/(2)`

Now, money given by his parents to wash car = $ 5.

So, total money Daniel has = Money left + Money from car wash =
`(x)/(2)+5`

As per question, money left with Daniel = $ 10.

Therefore,

`(x)/(2)+5=10\\(x)/(2)=10-5\\(x)/(2)=5\\x=5* 2=10`

Hence, Daniel's weekly allowance is $ 10.

Answer 2

The weekly allowance =$10

Explanation:

Let the weekly allowance of Daniel be x.

According the question the money he spend on the candy is x/2.

The money left with him from the weekly allowance is x/2.

Also the money he received from a car wash is $5.

The total money with Daniel at the end of the week=The money he received from car wash + The money left from the weekly allowance.

Given At the end of the week Daniel has $10

Now according to our formulae

10=5+
`x/2`

`x/2=5`

`x=10`.

Therefore the weekly allowance of Daniel is $10