274 Answerscan get any number of solutions of a particular series. Thus, if we make
m = 1, we get the answer 6252 + 1,250^2 = 1253 , and 6253 + 1,250^3 = 46,875^2.- MILK AND CREAM
Half a pint of skimmed milk must be added.- FEEDING THE MONKEYS
The smallest number of nuts is 2,179. The best way of solving this is to deal
first with the first two cases, and find that 34 (or 34 added to 143 or any
multiple of it) will satisfy the case for 11 and 13 monkeys. You then have to
find the lowest number of this form that will satisfy the condition for the 17
monkeys.2OS. SHARING THE APPLESThe ratio is clearly 6, 4, and 3, which sum to 13. Therefore the boys receive
~'iJ, t'iJ, and :Yl3, or 78, 52, and 39 apples.- SAWING AND SPLITTING
The men must saw 3 Yl3 cords of wood.- THE BAG OF NUTS
The five bags contained respectively 27, 25, 18, 16, 14 nuts. Each bag
can be found by subtracting the other two pairs together from 100. Thus,
100 - (52 + 30) = 18, the third bag.- DISTRIBUTING NUTS
There were originally 1,021 nuts. Tommy received 256; Bessie, 192; Bob,
144; and Jessie, 108. Thus the girls received 300 and the boys 400, or 100 more,
and Aunt Martha retained 321.