Math - mixture word problem

[151AND8TH]

Jane and jake went to the store. jane both 2 donuts and 3 cookies for $3.30 and jake bought 5 donuts and 2 cookies for $4.95. what is the price per donut and the prices per cookies?

I got as far as....
jane) 2D+3C= 3.3
jake) 5D+2C= 4.95

Then I thought i would solve for C using jane's data
C=(3.3-2D)/3

so I imput jane'S data into jake's to solve for D.. anway.. I AM STUCK!

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[151AND8TH]

oops i figured it out. price of D=$.75 ...price of C=$.60

 

[Streetwolf]

Jane and jake went to the store. jane both 2 donuts and 3 cookies for $3.30 and jake bought 5 donuts and 2 cookies for $4.95. what is the price per donut and the prices per cookies?

I got as far as....
jane) 2D+3C= 3.3
jake) 5D+2C= 4.95

Then I thought i would solve for C using jane's data
C=(3.3-2D)/3

so I imput jane'S data into jake's to solve for D.. anway.. I AM STUCK!

Just tweak them and add them. Multiply the first equation by (-2) and the second by (3). Then you have this:

-4D - 6C = -6.6
15D + 6C = 14.85

Now you have a -6C and a +6C. If you add the two equations the Cs will drop out:

11D = 8.25

And now you do the math and get D = 8.25/11 = 0.75. Then just solve for C.

 

[xdianaax]

Just tweak them and add them. Multiply the first equation by (-2) and the second by (3). Then you have this:

-4D - 6C = -6.6
15D + 6C = 14.85

Now you have a -6C and a +6C. If you add the two equations the Cs will drop out:

11D = 8.25

And now you do the math and get D = 8.25/11 = 0.75. Then just solve for C.

I think a thanks is in order for all the time and effort streetwolf dedicates to helping out this forum. Thank you!

 

[151AND8TH]

I second xdianaxx's emotion.. Thanks again streetwolf.. I am sure you have a lot on your plate at Stony Brooks.. your help is really appreciated!!