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Mrs. Curtis wants to buy online tickets for a concert. Two options are given here. Option 1: $53 for each ticket plus a shipping fee of $10 Option 2: $55 for each ticket and free shipping What is a system of equations to represent the costs of the tickets? Express your equations in the form of y=mx+b where x is the number of tickets purchased and y is the total cost.

Verified Answer :

texaschic101

y = 53x + 10
y = 55x + 0 or just y = 55x

Option 1: with shipping fee

Let total cost of tickets be = y

Let the number of tickets be = t

Cost of 1 ticket is given as = $53

Shipping fee charges = $10 (one time charge for all tickets purchased together)

So, equation becomes :

\(y=53t+10\)

Option 2: without shipping fee

Cost of 1 ticket is given as = $55

Shipping charge is free.

So, cost y becomes: \(y=55t\)

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