Bought 12.5 yards of fabric at 4.50 a yard to make dog beds. she use 2.5 yards of fabric to each dog bed, she sells a bed for 17.5 after subtracting cost of fabric how much money is made if all the beds were sold

First find out how much she spent on the fabric.  That's 12.5 yards times 4.50 a yard which is $56.25.  Now figure out how many beds she can make with 12.5 yards if each bed uses 2.5 yards of fabric by dividing 12.5 by 2.5 to get 5 beds.  She can make 5 beds for $56.25.  If she sells each of those 5 beds for $17.50 each, she makes 5 times $17.50 which is $87.50.  If she spent $56.25, subtract that from what she makes: 87.50 - 56.25 = 31.25