Hillary has eleven coins, all dimes and quarters. In total, the coins are worth 2 dollars and 15 cents. whats the equation
Let's assume that Hillary has x dimes and y quarters.
The equation representing the total number of coins that Hillary has is: x + y = 11.
Since each dime is worth 10 cents, the total value of dimes would be 10x cents.
Similarly, since each quarter is worth 25 cents, the total value of quarters would be 25y cents.
According to the question, the total value of all the coins is $2.15, which can be represented as 215 cents.
Therefore, the equation representing the total value of the coins is:
10x + 25y = 215.
So, the two equations are:
x + y = 11,
10x + 25y = 215.