MATH 163 A. ASSIGNMENT #3 Solve the following systems of equations. 1. 2. 2 x 5 y 1 6 x 4 y 16 3. 2 x 5 y 10 6 x 15 y 30 4. 2x 3y 6 6 x 9 y 12 5. B. x 2y 7 3 x 5 y 19 y 3x 5 8 x 4 y 30 0 6. y 2 x 7.5 5 y 3.2 3x 1. A child has $14.35 worth of nickels and dimes in her piggy bank. There is a total of 165 coins. How many of each does she have? 2. Is it possible to have $2.80 in quarters and dimes if the number of dimes exceeds the number of quarters by seven? Justify your answer. 3. The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat is $42 and $30 per acre respectively. Mr. Johnson has $18,600 available for cultivating these crops. If he uses all the land and the entire budget, how many acres of each crop should he plant? 4. Michael Perez has a total of $2000 on deposit with two savings institutions. One pays interest at 6% per year while the other pays interest at 8% per year. If Michael earned a total of $144 in interest during a single year, how much does he have on deposit at each institution