There are three types of sweet in a jar and this table gives some information about them.
Type of sweet Eclair Humbug Mint
Number of sweets (see picture 4 3x + 6 2x)
A sweet is chosen at random.
The probability it is an eclair is
15
Work out the probability it is a humbug.

2/3

Step-by-step explanation:

Given:

Number of eclairs = 3

Number of humbugs =2x+6=2(x+3)  

Number of mints =  x

Therefore, total number of sweets in the jar is,

s=3+2x+6+x=3x+9=3(x+3)

Now, probability of selecting a sweet to be humbug is given as:

 p(humbug)= number of humbugs/number of sweets

p(humbug)=2(x+3)/3(x+3)=2/3

Therefore, the probability that it is a humbug is 2/3

Step-by-step explanation:

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: