#### Arithmetic     ( Elizabeth Golden )

 Arithmetic     ( Elizabeth Golden )    Page 1    ***************** paper: lined paper 2 sheets, front and back of sheet one, front of sheet 2 The back of sheet 2 had the following written on it: Arithmetic, 90, Lizzie Golden 7-3/4” wide by 12-5/16” high.  The paper was folded in quarters. ***************     If one doz. costs .20 cts three doz. will cost 3 x .20 or 60 cts.  If he sells nine for .25 he will sell as many 9’s as 9 is contained in 36 or three doz. or 4 times.  Therefore if he sells nine for .25 for four nines he would receive \$1.00.  If they cost .60 and sell for \$1.00 he would gain the difference between \$1.00 - \$.60 or .40 gain.   II (a) 8-9/10 – 3-7/12 + 10-4/5 – 8-4/15 90/10 – 43/12 = (543 – 215) / 60 = 319 / 60 54/5 – 131/15 = (162 – 131) / 15 = 31 / 15 319/60 + 31/15 = (319 – 124) / 60 = 443 / 60 => 23/60 Ans   (b) (4-2/3 – (6-2/3 x 3/5)) / (2-3/4 + (8-3/4 / 13-1/8))    14/3 – 4/1 = (14 –12) / 3 = 2/3 11/4 = ((35/4) / 105/8) = 2/3     11/4 + 2/3 = (33 + 8) / 12 = 41/12 41/12 x 2/3 = 41/8 = 5-1/8 Ans     III   (87 - .09 = 9.5) x .125 – (9.8 + 96 - .005) x .005 87 – 09 = 86.91 + 9.5 = 96.41 x .125 = 12.05125 9.8 + 96 = 105.8 -.005 = 105.795 x .005 = .528975 12.05125 - .528975 = 11.522275 Ans     IV   18 cwt – 95 lbs = 1895 lbs x .05-3/4 = \$108.96-1/4 cost 1895 lbs / 3/5 = 1137 lbs x .13 = \$147.81 Selling P \$147.81 - \$108.96-1/4 = \$38.84-3/4 gain   V   157 hrs 50’ 36” 122 hrs 26’ 15” -------------------------   35 hrs 24’ 21” divided by 15 = 2hrs   30 ------     5     60 -------    300       24     324 minutes divided by 15 = 21 minutes     30 --------       24       15 ---------        9       60 --------      540        21 --------       561 seconds divided by 15 = 37-2/3       45 ---------       111       105 ---------          6/15 = 2/5   2 hr 21’ 37-2/5”     VI   960 lbs x \$8.35 = \$8016.00 cost 960 x .40 = \$384.00 x \$8.90 = \$3417.60 960 – 384 = 576 x .25 = \$144.00 x  \$8.75 = \$1260 576 – 144 = 432 x \$8.00 = 3456.00 \$12.60 + 3417 + 3456 = \$8133.60 Selling P. \$8133.60 - \$8016. = \$117.60 gain   VII   \$1.00 – 10 = 90        22,500 / 1.25 = 18000 \$22,500 / .90 = \$25000       90 = \$20,000 25,000 x \$1.25 = \$31,250 cost     VIII   6 mo at 8% = .04    100 + .04 = \$1.04 \$9650.80 / \$1.04 = \$9279.61 Present Worth \$6980.80 – 9279.615 = 371.18 discount     IX                       _________________________                     |    ie    |    ie    |    2e    |    2e    |                     |_____|______|______|______|                     |   15   |            |    12    |            |                     |_____|______|______|______|                     |    8    |   960   |    16    |    (x)    |                     |_____|______|______|______|   12 x 16 x \$960 = 184320 15 x 8 = 120 187320 / 120 = \$1104   X   Right triangle: height = 31.9, base = 12, hypotenus = 35   35 x 35 = 1224 12 x 12 = 144 1225 –144 = 1081 the square root of 1081 = 31.9 ft
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