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 Write a system of equations. Use t for tickets and l for lunch. Graph the equations in the system. Use your graph to estimate how much each item cost.

Question

Mathematics

Honey Pie

18 November, 23:55

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 Write a system of equations. Use t for tickets and l for lunch. Graph the equations in the system. Use your graph to estimate how much each item cost.

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Answers (1)

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Eli Zimmerman · Answer 1

Let the refill be x and lunch be y.

3x+y=10.35---eq 1

2x+y=8.35---eq 2

eq 1-eq 2

x=2

Therefore, 1 refill costs $2.

Substitute x=2 in eq 1 and we have;

3*2+y=10.35

y=10.35-6

y=4.35

There the lunch costs $4.35.