
By: kyChang (offline) Friday, May 25 2012 @ 01:03 AM CDT (Read 1243 times)



kyChang 
Help
There were 544 brownies and cupcakes for sale at a bakery. All the brownies at the bakery cost $448
more than all the cupcakes. After 4/5 of the brownies and 1/4 of the cupcakes were sold, there were
twice as many brownies as cupcakes left. Each brownies cost $0.80 less than each cupcakes.
How much did each brownie cost?

Junior
Registered: 10/10/10 Posts: 21





By: Joycetyl (offline) Friday, May 25 2012 @ 10:39 AM CDT



Joycetyl 
Hi, hope that this will be able to help
(sorry, unable to draw the model in here)
First  ( twice as many brownies as cupcakes left)
Half of the 1/5 brownies = 3/4 cupcakes
Half of the 1/5 = 3 units
1/5 = 6 units
Total Brownies 5/5 = (5x6) 30 units
Total cupcakes 4/4 = 4 units
Second  ( there were 544 brownies and cupcakes)
Brownies and cupcakes = (30+4) 34 unites
1 unit = (544 divide by 34) 16
Brownies  30 units = (30x16) 480
Cupcakes  4 units = (4x16) 64
Last  ( all brownies cost $448 more than cupcakes and each brownies cost $0.80 less than each cupcakes)
Let's take $2 for cupcake, then brownies will be ($2  $0.80) $1.20
Cupcakes 64 x $2 = $128
Brownies 480 x $1.20 = $576  $448 = $128
Answer : Each brownie costed $1.20.

Newbie
Registered: 03/29/09 Posts: 2





By: kyChang (offline) Sunday, May 27 2012 @ 05:49 AM CDT



kyChang 
Thanks

Junior
Registered: 10/10/10 Posts: 21





By: echeewh (offline) Monday, May 28 2012 @ 06:02 AM CDT



echeewh 
Hey there,
Let me offer an alternative to the <Last> part provided by Joyce as follows:
(***  used to buffer up for alignment purpose )
Given 1C  1B = 0.80, we have ...
64C = 64B + (0.80 x 64)
= 64B + 51.20
Given total cost difference between B and C is $448, we have ...
B:
<480B>

C:
<64B>
<>
**********  *******$448
*******$51.20
<>
Cost of 64C
Let 1B = 1u, and we have ...
480u  64u > 51.20 + 448
416u > 499.20
1u > 499.20 รท 416 = $1.20
====================================================
Trust this helps..
Cheers,
Edward

Active Member
Registered: 04/21/11 Posts: 577





By: kyChang (offline) Wednesday, May 30 2012 @ 12:51 AM CDT



kyChang 

Junior
Registered: 10/10/10 Posts: 21



