Acollection of nickels and dimes is worth $9.45. if the number of dimes is doubled, the value is $16.65. find the number of each coin.

Solution-

Hint- A nickel is worth 5 cents and a dime is worth 10 cents.

Suppose x number of nickels and y number of dimes are present.

Worth of nickels = x × 5 =5x cents =

Worth of dimes = y × 10 =10y cents =

Net worth = Worth of nickels + Worth of dimes = $9.45

If the number of dimes is doubled, then

Worth of dimes = 2 × y × 10 =20y cents =

Net worth = Worth of nickels + Worth of dimes = $16.65

Subtracting both the equation,

Putting the value of y in any equation will give the value of x,

the value of x was found to be 45.

∴ Number of nickels are 45 and number of dimes are 72.

step-by-step explanation:

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step-by-step explanation: