Answer:
12 quarters
Step-by-step explanation:
number of quarters ---------x
number of dimes ------------y
therefore, x + y = 37---------------times 10 both sides --------10x + 10y = 370-------equation 1
0.25x + 0.1y = 5.5 -----times 100 both sides -------25x + 10y = 550 ------equation 2
equation 2 minus equation 1 is 25x + 10y - 10x - 10y = 550 - 370 ------ 15x = 180 -------x = 12
there are 12 quarters
