Question

Sang-Jin has only quarters and nickels in her piggy bank. She has 66 coins in the bank with a value of $11. 50. How many quarters are in Sang-Jin’s piggy bank? Enter your answer in the box.

Answer 1

One quarter is equal to the 0.25 dollars and one nickel equal to the 0.05 dollars. The total number of quarter in the Sang-Jin's piggy bank is 41.

Given information-

Sang-Jin has only quarters and nickels in her piggy bank.

She has 66 coins in the bank with a value of $11.50.

Quarter

One quarter is equal to the 0.25 dollars.

Nickel

One nickel equal to the 0.05 dollars.

Let x be the quarter and y be the nickels.

As there is total 66 coins. thus,

$x+y=66\\ y=66-x$

Suppose the above equation as the equation number 1.

As the total amount is $11.50. Thus,

$0.25x+0.05y=11.50$

Put the value of y from the equations 1 in the above equation. Thus,

$0.25x+0.05(66-x)=11.50\\ 0.25x+3.3-0.05x=11.50\\ 0.2x=11.5-3.3\\ x=\dfrac{8.2}{0.2}\\ x=41$

Thus the total number of quarter in the Sang-Jin's piggy bank is 41.

Learn more about the quarter and nickel here;

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