algebra

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Let x be the number of quarters Gisele has. Thus Gisele must have x+16 nickels. 

To calculate cents, we can write 25x + 5(x+16) = 590

Simplifying, 25x + 5x + 80 = 590 or 30x = 510

Solving for x, we get x = 17

Gisele has 17 quarters. 

We have the equation 25x+5(16+x)=590 We distribute to get 25x+(5)(16)+(5)(x)=590 then we combine like terms to get (25x+5x)+(80)=590 then 30x+80=590 Next we subtract 80 from both sides 30x+80−80=590−80 then 30x=510 so we have that x=17 so Gisele has \(\boxed{17\text{ quarters}}\)

Create a System of Equations:

25x + 5(x+16) = 590

solve yourself