Final answer:
To find the number of quarters that have the same value as 85 dimes, divide 85 by 10 to get the number of sets of 10 dimes. Then, use the equality 4 quarters = 10 dimes to find the number of quarters in those sets. The answer is 32 quarters.
Step-by-step explanation:
To find the number of quarters that have the same value as 85 dimes, we can use the equality 4 quarters = 10 dimes. We can divide 85 by 10 to find how many sets of 10 dimes we have in 85 dimes. This gives us 8 sets of 10 dimes. Since 4 quarters are equal to 10 dimes, 8 sets of 10 dimes is equal to 8 sets of 4 quarters. So, the answer is 8 x 4 = 32 quarters.