Answer:
55 dimes and 70 quarters
Explanation:
Using a simple strategy of guess and check we know that the quarters will always be 15 more than dimes. From this we know it has to be around the 50s as 40s would bring us numbers too low and 60s too high. 55 happens to be answer for dimes as that brings in $5.50. 23-5.5=17.5 multiply that by 4 as each quarter is only valued at $0.25 you get the answer 70 which just so happens to meet the requirements of being 15 more than 55.