Question 422961
"Marcos had 15 coins in nickels and quarters" means that {{{x+y=15}}}


"He had 3 more quarters than nickels" means that {{{y=x+3}}}



Graph the two equations to get



{{{ drawing(500, 500, -10, 10, -10, 10,
 graph( 500, 500, -10, 10, -10, 10,15-x,x+3)

)}}}

Graph of {{{x+y=15}}} (red) and {{{y=x+3}}} (green)



We can see that they intersect at the point (6,9). So the solution is choice A)



Notice that 6+9 = 15 and 9 = 6 + 3



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