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2.4 Money/Geometry Word Problems Money Talks • At the end of the day, a cashier has 26 coins consisting of dimes and half dollars. The total value of these coins was $8.60. How many of each type did the cashier have? Dime Half Dollar Total # Value x .1 26-x 26 .5 Total Value .1x .5(26-x) 8.60 .1x+.5(26-x)=8.6 .1x+13-.5x=8.6 -.4x+13=8.6 -.4x=-4.4 X=11 11 dimes 15 half dollars Angles of Triangle • Sum of angles of a triangle is 180 degrees • EX4) A surveyor maps land in the form of a triangle. The 2nd angle of the triangle is 21 degrees greater than the 1st. The 3rd is 11 more than twice the first. What are the three angles? Let x=1st angle, x+21=2nd, 2x+11=3rd x+x+21+2x+11=180 x 4x+32=180 4x=148 X=37 X+21 2x+11 1st is 37, 2nd is 58, and the third is 85 Homework Pg. 95:7-14,27-30,35-38