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Note: Consider we need to find each type of coins he has.
Given:
Erin has quarters and nickels for a total of 16 coins.
The value of his coins is $2.60.
To find:
The number of each type of coins.
Solution:
Let x represent the number of quarters and y represent the number of nickels.
According to the question,
Total coins : ...(i)
Total value : ...(ii)
Multiply equation (i) by 0.25 and subtract the result from (ii).
Divide both sides by -0.20.
Put y=7 in (i).
Therefore, the number of quarters is 9 and number of nickels is 7.