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Ronch [10]
2 years ago
13

Gabriel is raising money for a school trip by selling lollipops and bags of chips. The price of each lollipop is $1 and the pric

e of each bag of chips is $1.50. Yesterday Gabriel made $30 from selling a total of 26 lollipops and bags of chips. Graphically solve a system of equations in order to determine the number of lollipops sold, x,x, and the number of bags of chips sold, yy.
Mathematics
2 answers:
iren [92.7K]2 years ago
8 0

Answer:

  • 18 lollipops
  • 8 bags of chips

Step-by-step explanation:

The equations we want to graph are one for the revenue, and one for the number of items sold.

__

<h3>revenue</h3>

The revenue from each lollipop is $1, so the revenue in dollars from selling  x of them is 1·x = x. The revenue from each bag of chips is $1.50, so the revenue from selling y of them is 1.50·y = 1.5y. The total revenue from selling x lollipops and y bags of chips is ...

  x +1.5y = 30 . . . . . dollars

__

<h3>item count</h3>

The total number of items sold is ...

  x + y = 26

__

<h3>solution</h3>

The graph shows the solution to these two equations is ...

  (x, y) = (18, 8)

The number of lollipops sold is 18; the number of bags of chips sold is 8.

VARVARA [1.3K]2 years ago
4 0

Answer:

x +  \frac{3}{2} y = 30

and

x + y = 26

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