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

Answer:

The weekly allowance =$10

Step-by-step 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

Answer 2

Answer:

$ 10

Step-by-step explanation:

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

Money spent on Candy = $\frac{1}{2}\times x=\frac{x}{2}$

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

$x-\frac{x}{2}=\frac{2x-x}{2}=\frac{x}{2}$

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

So, total money Daniel has = Money left + Money from car wash = $\frac{x}{2}+5$

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

Therefore,

$\frac{x}{2}+5=10\\\frac{x}{2}=10-5\\\frac{x}{2}=5\\x=5\times 2=10$

Hence, Daniel's weekly allowance is $ 10.