A candy store makes a 13–pound mixture of gummy bears, jelly beans, and gobstoppers. The cost of gummy bears is $1.00 per pound, jelly beans cost $2.00 per pound, and gobstoppers cost $2.00 per pound. The mixture calls for three times as many gummy bears as jelly beans. The total cost of the mixture is $20.00. How much of each ingredient did the store use?

8 lbs gummy bears, 2 lbs jelly beans, 3 lbs gobstoppers
3 lbs gummy bears, 6 lbs jelly beans, 4 lbs gobstoppers
6 lbs gummy bears, 2 lbs jelly beans, 5 lbs gobstoppers
8 lbs gummy bears, 3 lbs jelly beans, 2 lbs gobstoppers

Question

A candy store makes a 13–pound mixture of gummy bears, jelly beans, and gobstoppers. The cost of gummy bears is $1.00 per pound, jelly beans cost $2.00 per pound, and gobstoppers cost $2.00 per pound. The mixture calls for three times as many gummy bears as jelly beans. The total cost of the mixture is $20.00. How much of each ingredient did the store use?  


8 lbs gummy bears, 2 lbs jelly beans, 3 lbs gobstoppers
3 lbs gummy bears, 6 lbs jelly beans, 4 lbs gobstoppers
6 lbs gummy bears, 2 lbs jelly beans, 5 lbs gobstoppers
8 lbs gummy bears, 3 lbs jelly beans, 2 lbs gobstoppers

anonymous · Answer

@ajprincess

anonymous · Answer

@JakeV8 @ilikephysics2

anonymous · Answer

Ok, gotta concentrate...

anonymous · Answer

Strategy:  look for equations... hopefully there are multiple equations to help you solve the multiple unknowns or variables.

anonymous · Answer

Total cost:  $20

Total cost is the cost of each amount of candy times its cost per pound.

Does that sound reasonable?

anonymous · Answer

@JakeV8  yep

anonymous · Answer

The one with 6lbs on gummy bears.

anonymous · Answer

Could you please explain how you got that answer?

anonymous · Answer

6x$1=$6 this is the price for 6 gummy beans.    
2x$2=$4 this is the price for 2 jelly beans 5x$2=$10 This is the price for 5 gob stoppers
If  you add up the price you paid for all of the sweets, this comes to $20 for this combination. If you add up the price for other combinations you will get a different price (ie not $20)

anonymous · Answer

Alright! thanks!

anonymous · Answer

Sorry, gummy bears not gummy beans

anonymous · Answer

lolz

anonymous · Answer

No worries!

anonymous · Answer

6. 2 lbs of jelly beans x 3 = 6 lbs of gummy bears
$1 x 6 lbs = $6
$2 x 2 lbs = $4
$2 x 5 lbs = $10
$6 + $4 + $10 = $20
If the mixture calls for 3 times as many gummy bears as jelly beans and the total is $20.00, 6 lbs gummy bears, 2 lbs jelly beans, 5 lbs gobstoppers would be the answer.