1. Kerry asked a bank teller to cash a $390 check using $20 bills and $50 bills. If the teller gave her a total of 15 bills, how many of each type of bill did she receive?
2. Tickets for the homecoming dance cost $20 for a single ticket or $35 for a couple. Ticket sales totaled $2280, and 128 people attended. How many tickets of each type were sold?
3. Find the measures of the angles of an isosceles triangle if the measure of the vertex angle is 40 degrees less than the sum of the measures of the base angles.
#3
(Sum of two base angles and vertex angle=180)
(1)
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(Vertex angle = 40 less than sum of base angles)
(2)
Substitute this value for into to get this:
Substituting this answer into , we have and
Each of the two base angles is and the vertex angle is