Question 827213

quarter = 25 cents, dime = 5 cents. Some number of quarters (a x 25 cents) added to some number of dimes ( b x 5 cents) = 715 cents.
 25a + 5b = 715  with a + b = 37
a + 36b = 205 cents.  We need many more quarters.  
20a + 17b = 585cents.  More a's needed.
25a + 12b = 685cents. Getting closer.
27a + 10b = 725 cents. Slightly too many a's.
26a + 11b = 715.