When Jon went running in the park, he found 9 coins worth a total of $1.80. The coins were quarters and dimes. How many of each did he find?
Jon found 6 quarters and 3 dimes.
And, because dimes are worth 0.25 we can write:
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Let ( x ) represent the number of quarters and ( y ) represent the number of dimes.
Since Jon found a total of 9 coins, the first equation is:
[ x + y = 9 ]
Since the total value of the coins is $1.80, the second equation is:
[ 0.25x + 0.10y = 1.80 ]
To solve this system of equations, we can first solve the first equation for ( x ):
[ x = 9 - y ]
Substitute this expression for ( x ) into the second equation:
[ 0.25(9 - y) + 0.10y = 1.80 ]
Expand and simplify:
[ 2.25 - 0.25y + 0.10y = 1.80 ]
Combine like terms:
[ -0.15y = -0.45 ]
Divide by -0.15:
[ y = 3 ]
Substitute ( y = 3 ) back into ( x = 9 - y ):
[ x = 9 - 3 ] [ x = 6 ]
Jon found 6 quarters and 3 dimes.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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