Question 1202920
<br>
Fraction that were work related: 2/7<br>
Fraction remaining: 1 - 2/7 = 5/7<br>
Fraction that were from friends: 7/10 of the remaining = (7/10)(5/7) = 5/10 = 1/2<br>
Fraction remaining: 1 - 2/7 - 1/2 = 14/14 - 4/14 - 7/14 = 3/14<br>
Fraction that were advertisements: 3/4 of the remaining = (3/4)(3/14) = 9/56<br>
He got 14 more emails from work than from advertisements:<br>
(2/7)x - (9/56)x = 14
(16/56) - (9/56)x = 14
(7/56)x = 14
(1/8)x = 14
x = 14*8 = 112<br>
ANSWER: 112<br>
CHECK:
total: 112
work: (2/7)(112) = 32
other: 112-32 = 80
friends: (7/10)(80) = 56
other: 80-56 = 24
advertisements: (3/4)(24) = 18
work minus advertisements: 32-18 = 14<br>