Question

2. Dan and Bob went to the carnival. Dan bought 3 ticket refills and a lunch for $10.35. Bob bought 2 ticket refills and the lunch for $8.35. SHOW YOUR WORK (a) Write a system of equations. Use t for tickets and l for lunch. (b) Graph the equations in the system. (c) Use your graph to estimate how much each item cost.

Answer 1

Let t represents for ticket and l represents for lunch.

As per the given statement: Dan bought 3 ticket refills and a lunch for $10.35

then, we have

`3t + l = \$10.35`

Also, it is given that Bob bought 2 ticket refills and the lunch for $8.35.

⇒
`2t + l = \$8.35`

(a)

System of an equations are:

`3t + l = \$10.35`

`2t + l = \$8.35`

(b)

Let x-coordinate represents ticket refills and y-coordinates represents lunch

You can see the graph of the given equation as shown below in the attachment.

(c)

To find the cost of each items;

Using graph to estimate the cost of each items;

then;

Cost of ticket refills(t) = $2

and

Cost of lunch(l) = $4.35