Let n be a number of friends at the perty. If dinner costs $30 per person, then it cost $30n for all friends.

Robert has booked a banquet hall which costs $200, then his total expenses are $200+30n.

If the final bill is p, then p=200+30n.

Answer: p=200+30n.

3 0

3 years ago

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Allison is working two summer jobs, making $12 per hour lifeguarding and $8 per hour washing cars. Last week Allison worked 3 mo

timama [110]

Answer:

Allison worked 6 hours lifeguarding and 3 hours washing cars.

Step-by-step explanation:

Let

Number of hours Allison worked lifeguarding last week = x

Number of hours Allison worked washing cars last week = y

1. Last week Allison worked 3 more hours lifeguarding than hours washing cars hours, then

$x-y=3$

Lifeguarding:

$12 per hour

$12x in x hours.

Washing cars:

$8 pere hour

$8y in y hours.

2. Allison earned a total of $96, hence

$12x+8y=96$

You get the system of two equations:

$\left\{\begin{array}{l}x-y=3\\ \\12x+8y=96\end{array}\right.$

Plot the graphs of these two equations (see attached diagram). These line intersect at point (6,3), so Allison worked 6 hours lifeguarding and 3 hours washing cars.

3 0

2 years ago