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gsm8k-0017

1.000
1/1 tests· math
Challenge · difficulty 2/5
# GSM8K Problem 18

Jill gets paid $20 per hour to teach and $30 to be a cheerleading coach. If she works 50 weeks a year, 35 hours a week as a teacher and 15 hours a week as a coach, what's her annual salary?

Reason step by step, then give ONLY the final answer on the last line as \boxed{ANSWER}.

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Proposed solution
To find Jill's annual salary, we need to calculate her total earnings from both teaching and coaching over the 50 weeks she works in a year.

**Step 1: Calculate weekly earnings from teaching.**
Jill earns $20 per hour and works 35 hours a week as a teacher.
$$ \text{Weekly teaching earnings} = 20 \times 35 = 700 $$
So, she earns $700 per week from teaching.

**Step 2: Calculate weekly earnings from coaching.**
Jill earns $30 per hour and works 15 hours a week as a coach.
$$ \text{Weekly coaching earnings} = 30 \times 15 = 450 $$
So, she earns $450 per week from coaching.

**Step 3: Calculate total weekly earnings.**
Add the earnings from teaching and coaching to find her total weekly income.
$$ \text{Total weekly earnings} = 700 + 450 = 1150 $$
She earns $1150 per week in total.

**Step 4: Calculate annual salary.**
Jill works 50 weeks a year. Multiply her total weekly earnings by the number of weeks worked.
$$ \text{Annual salary} = 1150 \times 50 $$
$$ 1150 \times 50 = 57500 $$

Jill's annual salary is $57,500.

\boxed{57500}