andrewatnight
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Every evening Jenna empties her pockets

and puts her change in a jar. At the end

of the week she counts her money. One

week she had 50 coins, all of them dimes

and quarters. When she added them up,

she had a total of $10.25.


Let d = number of dimes and

q = number of quarters.

Verified Answer :

the equation would be d+q=$10.25

Xzibition

d + q = 50

10d + 25q = 1025

Multiply the first equation by 10. 

10(d + q = 50) --> 10d + 10q = 500

We combine this with the second equation

10d + 25q = 1025 
10d + 10q = 500

--------subtract--------
15q = 525 iff
q = 35

Plug in q = 35 into any of the original equations,

d + q = 50
d + 35 = 50 iff
d = 15

There are 15 dimes, and 35 quarters.

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