Question

Huong spent half of her weekly allowance

on candy. To earn more money her parents
let her wash the car for $6. What is her
weekly allowance if she ended with $14?


Step by step

Answer 1

$16

She ended the week with $14 after spending half of her allowance on candy and washing the car. So she spent half of her allowance and earned $6.

$14 is what she ended with. $6 was added that week. So if we got rid of the additional $6 she earned that week. We get $8.

$14 - $6 = $8

If she did not wash the car then half of the allowance she didn’t spend would be $8. That’s is half so add the other half and you get

$8 + $8 = $16 / $8 x 2 = $16

Answer 2

Let x be Huong's weekly allowance.

According to the problem, she spent half of her weekly allowance on candy. This means she spent (1/2)x on candy.

Then, she earned an additional $6 by washing the car. So her total earnings for the week are (1/2)x + $6.

Finally, we know that she ended up with $14 after all her spending and earning, so we can set up the equation:

(1/2)x + $6 = $14

Subtracting $6 from both sides gives:

(1/2)x = $8

Multiplying both sides by 2 gives:

x = $16

Therefore, Huong's weekly allowance is $16