10*d+25*q=1480, where d is the number of dimes and q is the number of quarters.If she has 76 coins total, then: 76=q+d
Solving for d yields d=76-q, which we substitute into the first equation:
10*(76-q)+25*q=1480
Simplifying and solving for q:
760-10*q+25*q=1480
15*q=720
q=48
Substituting back into the second equation:
d=76-48=28
Check solution:
10*28+25*48=1480
Maribel had 28 dimes and 48 quarters.
