Randall buys 3 tickets for a concert for \( \$ 14.50 \) each. He gives the cashier a \( \$ 5 \) bill. How much change does he get? Write equations to show your work.
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The Deep Dive
First, let's calculate the total cost of the 3 concert tickets. The cost per ticket is \( \$ 14.50 \), so we multiply that by 3: Total Cost = \( 3 \times 14.50 = 43.50 \) Now, Randall gives the cashier a \( \$ 5 \) bill, but obviously, \( \$ 5 \) is not enough to cover the cost. So, Randall would actually need to pay in different bills. To calculate how much more Randall needs: Amount Due = Total Cost - Amount Paid Amount Due = \( 43.50 - 5 = 38.50 \) Since Randall gave only \( \$ 5 \), he would need to get the remaining balance in larger denominations to pay the total. But if we were to switch gears, assuming he had paid with a sufficient total (for example, \( \$ 50 \)), the change would then be calculated as follows: Total Payment = \( 50 \) Change = Total Payment - Total Cost Change = \( 50 - 43.50 = 6.50 \) In conclusion, since Randall cannot just give \$5 for tickets costing \$43.50, the simplest answer would be that he needs more money to pay the total.