Sasha has $2.65 in change in her pocket. The $2.65 is made up of one quarter plus an equal number of nickels and dimes. How many nickels does Sasha have in her pocket?
Q. Sasha has $2.65 in change in her pocket. The $2.65 is made up of one quarter plus an equal number of nickels and dimes. How many nickels does Sasha have in her pocket?
Identify coin values: First, let's identify the value of the coins we are dealing with. A quarter is worth $0.25, a dime is worth $0.10, and a nickel is worth $0.05. Sasha has $2.65 in total, which includes one quarter.
Subtract quarter value: Subtract the value of the quarter from the total amount to find out how much is made up of nickels and dimes. $2.65 - $0.25 equals $2.40.
Express total value of nickels and dimes: Since the number of nickels and dimes is equal, we can let the number of each coin be represented by the variable n. Therefore, the total value of the nickels and dimes can be expressed as 0.10n+0.05n.
Combine like terms: Combine the like terms to simplify the expression for the total value of nickels and dimes: 0.10n+0.05n=0.15n.
Set up equation: Now, we can set up the equation 0.15n=$(2.40) to find the value of n, which represents the number of nickels and also the number of dimes.
Solve for n: Divide both sides of the equation by 0.15 to solve for n: n=0.15$2.40
Find number of nickels: Perform the division to find the value of n: n=16Sasha has 16 nickels and 16 dimes. Therefore, Sasha has 16 nickels.
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