Gummy candy: 11 pounds x 2 = 22 pounds
Jelly beans: 11 pounds x 1 = 11 pounds
Hard candy: 11 pounds x 0 = 0 pounds
A candy store makes an 11-pound mixture of gummy candy, jelly beans, and hard candy. The cost of gummy candy is $2.00 per pound, jelly beans cost $3.00 per pound, and hard candy costs $3.00 per pound. The mixture calls for two times as many gummy candy pieces as jelly beans. The total cost of the mixture is $27.00. How much of each ingredient did the store use?
2 answers
Absolutely useless by the robot tutor just to state answers, especially
if they are wrong.
amount of jelly beans --- x pounds
amount of gummy ---- 2x pounds
amount of hard candy --- y pounds
equation base on number of pounds:
x+2x+y = 11
y = -3x + 11
equation based on cost:
2(2x) + 3x + 3y = 27
7x + 3(-3x + 11) = 27
-2x = -6
x = 3
So we need 3 pounds of Jelly Beans, 6 pounds of Gummies
and 2 pounds of hard candy
if they are wrong.
amount of jelly beans --- x pounds
amount of gummy ---- 2x pounds
amount of hard candy --- y pounds
equation base on number of pounds:
x+2x+y = 11
y = -3x + 11
equation based on cost:
2(2x) + 3x + 3y = 27
7x + 3(-3x + 11) = 27
-2x = -6
x = 3
So we need 3 pounds of Jelly Beans, 6 pounds of Gummies
and 2 pounds of hard candy