Givens
Let the total number of Candies = T
1/4 T = chocolates
1/6 T = gummy bears
1/3T = peppermints
9 = Licorice Sticks.
Equation
1/4 T + 1/6T + 1/3 T + 9 = T
Solve
The Lowest common denominator on the left side is
4 = 2*2
6 = 2*3
3 = 3
LCM = one 3 two 2s
LCM = 3*2*2
LCM = 12
Change the fractions to 12ths.
[tex] \dfrac{1*3}{4*3} =\dfrac{3}{12} [/tex]
[tex] \dfrac{1*2}{6*2} =\dfrac{2}{12} [/tex]
[tex] \dfrac{1*4}{4*3} =\dfrac{4}{12} [/tex]
3/12 T + 2/12 T + 4/12 T + 9 = T
(3 + 2 + 4)*T/12 + 9 = T
9/12 T + 9 = T Subtract 9/12 T from both sides.
9 = T - 9/12 T
9 = 3/12 T
9 = 1/4 T Multiply both sides by 4
T = 36
1/3 T = Peppermints
1/3 * 36 = Peppermints.
12 = Peppermints.
1/4 T = chocolates
1/4 36 = chocolates
9 = chocolates.
Answer
Product 12 * 9 = 108 <<<<<<< Answer
The product of chocolates and Peppermints = 108
