APPLES 



361 



box, with spares at the other end, the 

 second and fourth rows touch only the op- 

 posite head of the box. All the rows in 

 each layer contain the same number of 

 apples, and each layer contains the same 



Fis- ao. Thicp twii I'ack: 113 at the left. 

 IT.j at the risht. 



number. The number of apples in the 

 ■ box is determined by counting the apples 

 in the top layer and multiplying by five, 

 the number of layers. 



2. When the outer rows and the middle 

 row of a layer reach from head to head 

 of the box, the second and fourth rows 

 each has a space at both ends and each 

 contains one apple less. On the other 

 hand, when the second and fourth rows 

 reach from head to head, the first, third 

 and fifth each has a space at both ends 

 and each contains one apple less. Then 

 the layer constructed after the latter, con- 

 tains one apple less than the layer con- 

 structed after the former manner. Now 

 the first, third and fifth layers of the box 

 each contains the same number of apples, 

 and the second and fourth the same. But 

 the first, third and fifth layers are con- 

 structed after the former manner, and 

 the second and fourth after the latter. 

 Hence the box contains two layers each 

 containing one apple less than the other 

 three: and to determine the number of 

 apples, count those in the top layer, mul- 

 tiply by five, the number of layers and 

 subtract two. 



The counts of the three-two packs, with 

 the length of rows in each are: 100, 4-4; 

 113, 5-4; 125, 5-5; 138, 6-5; 150, 6-6; 163, 

 7-6; 175, 7-7; 188, 8-7; 200, 8-8; 213, 9-8; 



225, 9-9. The count 100 is sanctioned 

 only for the use of very long apples, such 

 as some Spitzenburgs and Ortleys, which 

 would pack slack crosswise of the box 

 and not allow of a proper height If put 

 into the 96 two-two pack. Sizes 200, 213, 

 and 225 can be used successfully only 

 for apples somewhat flat. Long apples for 

 these sizes will likewise be slack cross- 

 wise and come too low. They can be 

 packed three-three. To decide whether a 

 certain size of apple should be packed in- 

 to the three-two or the three-three pack, 

 try to place five of them cheek to cheek 

 crosswise of the box. If the apples are 

 so large that there is not room for five of 

 them in the row, the apples are to be 

 packed three-two. If the five of them 

 fit across snugly, or if they are so small 

 that five of them do not reach across, they 

 are to be packed three-three. 



l''ig. .31. The Five Layers of a Three-two Pack 

 where the I'ows are of unequal length. One 

 hundred eighty-eight apples. If tlie top layer 

 ot the box were counted and this number 

 multiplied by five, the result would be IflO. 

 If the layers are reversed there will be 1S7 

 apples. 



Three-Three Pack 



To begin the three-three pack, place 

 three apples against the lower head of 

 the box, beginning at the left hand side, 

 leaving three spaces of equal size, one at 

 the right of each apple, the last being 

 between the third apple and the right 



