First, count the total number of letters in <span>BURGER AND STARBIRD.
There are 17 letters.
Now count each type of letter you are interested in and divide by 17.
a) There are four R's, so the probability of pulling out an R is 4/17.
b) </span><span>There are two B's, so the probability of pulling out an B is 2/17.
c) Letters A through M appear in the first half of the alphabet.
These letters are from the first half of the alphabet:
</span><span>BGEADABID
There are 9 of them.
</span>The probability of pulling out a letter that appears in the first half of the alphabet is 9/17.
d) <span>These letters are vowels
</span><span>UEAAI
There are five vowels.
</span><span>The probability of pulling out a vowel is 5/17.</span>
<span>x = Joe's age and </span><span>y = James's age
</span><span>Joe is 10 years older than James - equation - x = y + 10
</span><span>In 8 years twice Joe's age will equal three times James's age - equation -
2(x+8) = 3(y+8)
</span>
<span>2(x+8) = 3(y+8) </span>
<span>2(y + 10 +8) = 3(y+8) { substitute y + 10 for x </span>
<span>2(y + 18) = 3(y + 8) </span>
<span>2y + 36 = 3y + 24 </span>
<span>12 = y </span>
<span>Joe is 22 and James is 12.</span>
