Complete question:
A bucket of candy contains 24 Jolly Ranchers, 18 Hershey Kisses, 12 packs of Smarties, and some Starburst. The probability of reaching in and pulling out a pack of Smarties is 1/6.How many Starburst are in the bucket?
Answer:
18
Step-by-step explanation:
Give the following :
Number of jolly ranchers = 24
Number of Hershey kisses = 18
Number of smarties = 12
Number of Starburst = s
Probability of pulling out a smarties ; P(smarties) = 1/6
Probability = required outcomes / total possible outcomes
Required outcome = 12
Total possible outcomes = (24 + 18 + 12 + s) = 54 + s
P(smarties) = 12 / (54 + s)
1/6 = 12 / 54 + s
1 × (54 + s) = 12 × 6
54 + s = 72
s = 72 - 54
s = 18
Hence number of smarties = 18
