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Sergeeva-Olga [200]
2 years ago
10

. 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 allo

wance, 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?
Mathematics
1 answer:
mart [117]2 years ago
5 0

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.

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