Question

. Shawn gets an allowance of $18 each week and his sister Natasha gets an allowance of $9 each week. Shawn saves 1/2 of his allowance, and Natasha saves 2/3 of her allowance. Suppose Shawn started with $0 savings, and Natasha started with $30. How many weeks will it take until they have the same amount in savings?

Answer 1

Answer:

Shawn and Natasha have same amount in savings after $10$ weeks.

Step-by-step explanation:

Shawn gets an allowance of $18 each week.

Amount saved by Shawn = $\frac{1}{2}(\ 18)=\ 9$

Natasha gets an allowance of $9 each week.

Amount saved by Natasha = $\frac{2}{3}(\ 9)=\ 6$

Suppose that Shawn and Natasha have same amount in savings after $x$ weeks.

Also, Shawn started with $0 savings, and Natasha started with $30.

So,

$9x=30+6x\\9x-6x=30\\3x=30\\x=10$

Therefore,

Shawn and Natasha have same amount in savings after $10$ weeks.