Let's assume Yasmin has x nickels and y dimes.
According to the problem, the total number of coins Yasmin has is 18. This can be written as an equation: x + y = 18.
The total value of all the nickels is given as the number of nickels multiplied by 0.05 (since a nickel is $0.05). So, the total value of the nickels is 0.05x.
Similarly, the total value of all the dimes is given as the number of dimes multiplied by 0.10 (since a dime is $0.10). So, the total value of the dimes is 0.10y.
According to the problem, the total value of all the coins (nickels + dimes) is $1.20. This can be written as another equation: 0.05x + 0.10y = 1.20.
We can solve these two equations simultaneously to find the values of x and y.
Multiplying the first equation by 0.05, we get: 0.05x + 0.05y = 0.90.
Subtracting this equation from the second equation: (0.05x + 0.10y) - (0.05x + 0.05y) = 1.20 - 0.90.
This simplifies to: 0.05y = 0.30.
Dividing both sides of the equation by 0.05, we get: y = 6.
Substituting this value of y into the first equation, we get: x + 6 = 18.
Subtracting 6 from both sides of the equation, we get: x = 12.
Therefore, Yasmin has 12 nickels and 6 dimes.
Yasmin has 18 coins in her pocket. She has nickels and dimes that total $1.20 how many nickels and how many dimes does she have
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1 answer