Question

During the first four weeks of summer vacation, Danny worked at a camp earning $150 per week. During the remaining 6 weeks of vacation, he worked as a stick boy earning $250 fer week. What was his average weekly wage for the summer?

Answer 1

$210 per week

Explanation:

We can determine Danny's weekly earnings using the formula:

`\text{avg weekly wage} = \frac{\text{total money earned}}{\# \text{ of weeks worked}}`

First, we can calculate how much money Danny earned the first 4 weeks at camp.

`4 * \$ 150 = \$600`

Then, we can calculate how much money Danny earned in the remaining 6 weeks as a stick boy.

`6 * \$250 = \$1,500`

Finally, we can plug these values into the above formula and simplify so that the denominator is 1.

`\frac{\$600 + \$1,500}{4 \text{ weeks} + 6 \text{ weeks}}`

↓ execute addition

`\frac{\$2,100}{10 \text{ weeks}}`

↓ divide by 10 / 10

`\frac{\$210}{1 \text{ week}}`

↓ rewrite

`\boxed{\$210 \text{ per week}}`