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27 votes
27 votes
Can any one solve this please?
and with step-by-step explanation.

Can any one solve this please? and with step-by-step explanation.-example-1
User Raziza O
by
2.7k points

1 Answer

14 votes
14 votes

Answer:

2/3

Explanation:

Probability of choosing an eclair = 1/15

This means that there is 1 eclair in every 15 sweets.

As there are 3 eclairs, there are 3 x 15 = 45 sweets in total.

Now we can write an expression for the total number of sweets and solve for x:

Total number of sweets = 3 + (2x + 6) + x = 45

⇒ 3x + 9 = 45

⇒ 3x = 45 - 9

⇒ 3x = 36

⇒ x = 36 ÷ 3

⇒ x = 12

Now we have found x, we can determine the number of humbugs in the jar by substituting x = 12 into 2x + 6:

(2 x 12) + 6 = 30

So the probability the sweet is a humbug is 30 / 45 = 2/3

User KChaloux
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3.4k points