FOO + TPR + INT = FOOTPRINT
SOM + EWH + ERE = SOMEWHERE
PIN + EAP + PLE = PINEAPPLE
TEC + HNI + QUE = TECHNIQUE
REF + ERE + NCE = REFERENCE
PRO + FES + SOR = PROFESSOR
BIO + GRA + PHY = BIOGRAPHY
CLO + CKW + ISE = CLOCKWISE
BAR + OME + TER = BAROMETER
The local library decided to hand out some of its old books to its 1400 borrowers.
To each of the female borrowers they gave 6 books and to each male borrower they gave 4 books.
If only half of the females in town and three quarters of the males in town accepted the books, how many books were given away?
Hint: How many chickens did the last customer buy?
Answer: 15 chickens.
The first customer bought 15 ÷ 2 + ½ = 8 (leaving 7)
The second customer bought 7 ÷ 2 + ½ = 4 (leaving 3)
The first customer bought 3 ÷ 2 + ½ = 2 (leaving 1)
The first customer bought 1 ÷ 2 + ½ = 1
The answer can be worked out in the following way:
The fourth customer can only have bought one chicken, otherwise there would be some chickens left. The third customer bought all but 1, so total - (total ÷ 2 + ½) = 1. This can be solved algebraically or it's easy to see that the total must have been 3. This method keeps working until we reach the first customer.