Question

aiden has $3 worth of dimes and quarters. he has 2 more dimes than quarters. determine the number of dimes and the number of quarters that aiden has.
answer
there are dimes and quarters.
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Explanation:

Step1: Define variables

Let $q$ = number of quarters, $d = q + 2$ = number of dimes

Step2: Set up value equation

Total value in cents: $25q + 10d = 300$

Step3: Substitute $d$ into equation

$25q + 10(q + 2) = 300$

Step4: Simplify and solve for $q$

$25q + 10q + 20 = 300$
$35q = 280$
$q = \frac{280}{35} = 8$

Step5: Calculate number of dimes

$d = 8 + 2 = 10$

Answer:

There are 10 dimes and 8 quarters.