Money Jar Problem

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lisaz0224

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Oct 5, 2008
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Okay, here is another problem from my math homework. I figured out the answer to this in the end, but I still don't understand how to do it algebraically, which is what is being asked. Basically, please explain all of the steps in algebraic form.

A jar containing only nickels and dimes contains a total of 60 coins. The value of all the coins in the jar is $4.45. Find the number of nickels and dimes that are in the jar.

Thank you! :)
 
lisaz0224 said:
Okay, here is another problem from my math homework. I figured out the answer to this in the end, but I still don't understand how to do it algebraically, which is what is being asked. Basically, please explain all of the steps in algebraic form.

A jar containing only nickels and dimes contains a total of 60 coins. The value of all the coins in the jar is $4.45. Find the number of nickels and dimes that are in the jar.

Thank you! :)
Click to expand...
Like the other problem - first figure out what the problem asking for..

Find the number of nickels and dimes...

So let us name our variables

Number of nickels = n .................................................(1)

One information given:

A jar containing only nickels and dimes contains a total of 60 coins...

# of dimes = 60 - n ....................................................(2)

What other information do you have - write it up as an equation and solve it.

I'll do a similar problem for you to follow.

A jar containing only quarters and dimes contains a total of 6 coins. The value of all the coins in the jar is $1.20. Find the number of quarters and dimes that are in the jar.

Let

the # of quarters = Q

the # of dimes = 6 - Q

The value of all the coins in the jar is $1.20

From above we get

0.25 * Q + 0.10 * (6 - Q) = 1.20

0.25 * Q + 0.60 - 0.10 * Q = 1.20

0.15 * Q + 0.60 = 1.20

0.15 * Q = 1.20 - 0.60

0.15 * Q = 0.60

Q = 0.60/0.15 = 4

So

# of Quarters = 4

# of Dimes = 6 - 4 = 2

Please show us your work, indicating exactly where you are stuck - so that we know where to begin to help you.
 
Oh! Thanks, that helps a lot. Actually, I've learned this in class, I just didn't know to apply it like that.
 
lisaz0224 said:
... I've learned this ... didn't know to apply it ...
Click to expand...


Hello Lisa Z:

Try doing more homework than is assigned.

Cheers,

~ Mark :)

 
mmm4444bot said:
Try doing more homework than is assigned.
Click to expand...
That's good advice, by the way. It totally saved my butt in chemistry.... :wink:

Eliz.
 


It earned me a 3.98 GPA to go with my first degree; my sleeping habits never quite returned to normal.

~ Mark 8-)

 
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