If Maggie has only dimes and quarters in her purse. She has 27 coins with a total value of $4.05 in her purse. How many dimes does Maggie have in her purse then all you would have to do is divide 27 by .25
1. Let the shorter piece be x in. long the longer piece will be x + 13 in. long and the two pieces add up to be 47 in., so x + ( x + 13 ) = 47 2x = 47 - 13 2x = 34 x = 17 the longer piece is x + 13 in. long,, or 17 + 13 = 30 in. long
2. number of dimes: x number of quarters: y x + y = 27....(1) 10x + 25y = 405...(2) (1)*10: 10x + 10y = 270....(3) (2) - (3):15y = 135 y = 9 plug y = 9 into (1), you will find that x = 18 so 18 dimes, 9 quarters
