9-6+8+3-9+8-3-7+6+8-9+6+7-8+6 +9+8-3+8-6+6+8+68+9+6+3? 12. How many are 13+5+3-6+8−3+6+8+ 3-7-6+8+9+6−3+8+7-3+6+8-3+8+6 8+6+9+3-2+8-3+6-8+3+7-8-6+8+6 +3? 13. How many are 4+7+8+9-3+6-8+8-3 +4+8−3+7-6+7+8—3—8—7+6+7+8—6— 8a7+3+6+8+3—7—6—8+7+6−2+7−2+7? LESSON XIV. BLACKBOARD EXERCISES. MODEL OPERATION. 818 919 323 444 515 616 717 73 515 66 434+15=449 FORM.-515-66-what? 500-66-434; 434+15=449. PROBLEMS. Containing not more than two elementary questions. 1. A man sold a cow for $20 and a calf for $12; he received in payment $19; how much was still due? ANALYSIS.* ANALYTICAL STEPS.-1. Find the amount for which he sold the cow and the calf. *NOTE FOR THE TEACHER. -Have the formulas recited until the pupils can give them readily and accurately. N. B. The analytical steps should always be distinctly stated in every problem. ARITH. FORM.-If he sold the cow for $20, and the calf for $12, he sold both for the sum of these quantities, which is $32. ANAL. STEP.-2. Find the amount due. ARITH. FORM.—If a man sold a cow and a calf for $32, and he received in payment $19 there must be due the difference between these amounts, which is $13. CONCLUSION.-Therefore $13 were still due. 2. A farmer bought a horse for $87, and a wagon for $50; he exchanged both for 2 yoke of oxen worth $200; how much did he gain? 3. A man bought a yoke of oxen for $97; their keeping cost $13; he sold them for $125: did he gain or lose, and how much? 4. A box of raisins was bought for $7, a firkin of butter for $28; both were sold for $40: how much was gained? 5. A jeweler bought a watch for $86, a chain for $36; he sold both for $175: how much did he gain by the bargain? 6. Henry and George started from the same place, and traveled in the same direction; Henry traveled 160 miles, and George 78 miles; how far apart were they? 7. Two boats sail from the same place and in the same direction; one sails at the rate of 190 miles a day; the other, at the rate of 97 miles: how far will they be apart at the end of the day? 8. A father is 90 years of age, and is 37 years older than his oldest son; how old is his son? LESSON XV. 1. James had 40 cents and paid 12 for a whistle and 25 for a knife; how many had he left? ANAL. STEP.-1. Find how much he paid for the whistle and the knife. ARITH. FORM.--If James paid 12 cents for a whistle and 25 cents for a knife, he paid for both the sum of these numbers, which is 37 cents. ANAL. STEP.-2. Find how many cents he had left. ARITH. FORM.- -If James had 40 cents, and paid 37 cents for a whistle and a knife, he had left the difference of these numbers, which is 3 cents. CONCLUSION.-Therefore he had three cents left. 2. Henry had 97 nuts in a basket; he put 12 in one pocket, and 13 in the other; how many nuts were left in the basket? 3. A school-boy paid 56 cents for an atlas, and 30 cents for an arithmetic; he gave the shopkeepers a dollar bill: how much change should he receive? 4. A drover bought 190 sheep of three farmers; he bought 27 of the first, and 28 of the second; how many did he buy of the third ? 5. Lucy had 9 oranges, her mother gave her 11 more, and her father enough to make 40; how many did her father give her? 6. A man had 88 dollars, and gave 28 dollars for a cow, and 14 dollars for a calf; how much money had he left? 7. How many are 137-84? 97-68? 149-68? 137-57 138-67 168-78? 148-39? 16347 136-83? 126-72? 137-27? 8. How many are 136-72? 146-38? 9727? 163-124? 150-35 157-27? 138-69? 137-67 168-134? 168-27? 186-39? 9. How many are 139-67? 186-79? 18638? 171-69 ? 184-97? 68-27? 146-97 ? 167-39 158-46? 173-67? 10. How many are 144-39? 183-167? 127– 117 137-86? 137-56? 147-16? 132-73? 127-67 133-87? 169-87? 11. How many are 137-86? 143-67? 196 -67? 143-68? 176-94? 138-73? 96-28? 173-69? 183-67? 12. How many are 171-89? 146-89? 13768? 143-87? 143-69 137-78? 164-89? 137-87? 186–97? 13. Henry bought a slate for 25 cents, some pencils for 11 cents; he had 80 cents at first; how much has he left to spend ? 14. John had 50 apples; he gave 17 to his mother, and 15 to his sister; how many had he left? 15. A man bought one barrel of pork for $18, and another for $17; he sold both for $46; how much did he gain? 16. George spent 19 cents for candy, and 17 cents for fruit; how much more will he have to spend to make 50 cents? 17. Two men bought a horse, the one paying 110 dollars, and the other 25 dollars less; how much did both pay? 18. A man sold a firkin of butter for $17, and a cheese for $19; and received in payment a barrel of flour worth $13; how much remains due? 19. Solomon gave 13 cents for some oranges, 27 cents for some cake, and had 47 cents remaining; how much had he at first? 20. Stoddard at a game of marbles won 13, and |