I cant really explain mathematically I just used simple math basically but 4 quarters is $1 4×3.5=14. 14 quarters is $3.50 which means you have $1.80 left 10 dimes are in $1 10×18=180 -> $1.80 so to make $5.30 with 32 coins of dimes and quarter you would need 14 quarters and 18 dimes
Kate has 18 dimes and 14 quarters. We determined this by setting up a system of equations based on the total number of coins and their total value. Solving the equations led us to find the number of each type of coin.
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