Problema Solution
Suppose you save quarters and dimes in a jar. Last night you counted $6.75. The number of dimes is one more than the number of quarters. How many quarters are there?
Answer provided by our tutors
1 dime = 10 cents
1 quarter = 25 cents
let
d = the number of dimes, d>0, d is integer
q = the number of quarters, q>0, q is integer
Last night you counted $6.75 = 675 cents:
10d + 25q = 675
The number of dimes is one more than the number of quarters:
d = 1 + q
plug d = 1 + q into 10d + 25q = 675:
10(1 + q) + 25q = 675
by solving we find:
q = 19 quarters
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there are 19 quarters in the jar.