Question

5. During the summer, you want to earn $250 each week. You earn $10 per hour working as alifeguard and $8 per hour at the concession stand. You are only available to work 30 total hours eachweek. Which system of equations matches this scenario?A. x + y = 25018x = 30B. x + y = 25010x + 8y = 30-C. x + y = 3010x + 8y = 250D. 10x + 8y = 25010x + 8y = 30

Answer 1

Given:

Money I want to earn is $250 each week

I earn $10 per working hour as a lifegaurd and $8 per hour at a concession stand.

Total available hours to work is 30.

To find : The system of equations satisfies the statement.

Step-by-step explanation:

Let x be the number of hours working as a lifegaurd and y be the number of hours earned at concession stand.

As x and y represents the hours so the total hours is written as:

`x+y=30`

Equation with the total money earned.

`10x+8y=250`

Therefore, the final system of equations are:

`\begin{gathered} x+y=30 \\ 10x+8y=250 \end{gathered}`

Therefore, Option C is the final answer.