Question

A candy store makes a 9-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 $23.00. How much of each ingredient did the store use?

Answer 1

9-pound mixture of gummy candy, jelly beans, and hard candy.
Gummy candy = x
jelly beans = y
hard candy = z
x+y +z = 9 --------(1)
$2.00 per pound, jelly beans cost $3.00 per pound, and hard candy costs $3.00 per pound
2x +3y +3z = 23. -------- (2)
The mixture calls for two times as many gummy candy pieces as jelly beans.
y = 2x ------- (3)
Putting (3) in (2) and (1)
2x +x+z = 9
3x +z = 9 ------ (4)
2x +3(2x) +3z =23
2x +6x +3z = 23
8x + 3z = 23 ----- (5)
simplify (4) and (5) then use the value of x in (3) to find y

Answer 2

ohhhhhhh okay thank you.