PRACTICAL PROBLEMS 1. A man paid $2.50 for a hat and $15.50 for a How much did he pay for both? suit. $2.50, cost of hat. 15.50, cost of suit. $18.00, cost of both. 2. A merchant sold 425 bu. of potatoes, 232 bu. of apples, and 189 bu. of onions. Find the total number of bushels sold. 3. A lady paid $25 for a carpet, $71 for a rug, and $7 for curtains. What was the amount of her bill? 4. How many days are there from July 1 to Dec. 31? 5. A man left his estate to his wife, son, and daughter. His wife received $9845, his son $3650, and his daughter $3500. What was the value of the whole estate ? * 6. I sold my house for $5675, thereby losing $897. How much did the house cost? How many 7. A lawn is 30 ft. long and 24 ft. wide. How feet is it around the lawn? 8. The distance from New York to Philadelphia by rail is 92 miles and the distance from Philadelphia to Atlantic City is 60 miles. How far is it from New York to Atlantic City? * Before solving, estimate the answer mentally thus: $10,000+ $3500 + $3500 $17,000. Then find the exact answer, and compare the results. = How much do they differ? HAM. AR. 1-11 PRACTICAL PROBLEMS 1. A ranchman bought 468 cows and sold 239 of them. How many had he left? 468, number of cows bought. 239, number of cows sold. 229, number of cows remaining. 2. Mr. Jones was born in 1851. How many years old is he if now living? 3. A man's property sells for $47,892. He owes $36,987. How much has he left after paying his debts ?* 4. In a certain election A received 38714 votes and B 29867 votes. How much did A's vote exceed B's? 5. I sold a farm for $5628, which was at a gain of $1394. What was the cost of the farm? 6. A merchant bought 26520 bu. of grain and sold 18296 bu. How many bushels had he left? ago 7. The population of a town is 8596. Ten years it was 2397. What was the increase in ten years?* 8. A man's salary is $2525 a year. His expenses are $1786. How much can he save in a year? 9. A barrel of flour weighs 200 lb. The barrel itself weighs 4 lb. How many pounds of flour are there in a barrel? 10. At an election the whole number of ballots cast was 11342. Of this number A received 8673. many votes were cast for his opponent ?* * Estimate the answer by calculating in even thousands. How MULTIPLYING BY 10 1. Count by 10's to 100. Build the table of 10's. 2. How many are 9 x 10? 90+?=100. What number Place a naught 3. Place a naught to the right of 4. have you? 40 is how many times 4? to the right of 6; 3; 7; 9; 11; 12. See whether each product has become ten times the number. Annexing a naught to the right of a number multiplies it by 10. 4. Annex 0 to each number. Notice the effect: MULTIPLYING BY 11 1. Count by 11's to 33; to 66; to 99. Build the table of 11's. 2. 9 x 11=? 99+11=? How many 11's = 110? 3. 10 x 11=? 10 times 11, plus 11=? How many are 11 x 11? 4. To find 12 x 11 how many must be added to 11 x 11? 12 x 11=? 9.1 of 132; of 88; of 121; of 110; of 99; of 77. REMAINDER IN DIVISION 1. Divide 345 by 2. 2)345 3 hundred÷2=1 hundred and 172 Quotient 1 hundred (10 tens) remaining. 14 tens 27 tens. 5 units ÷ 2 = 2 units and 1 unit remaining. This one unit is called the remainder. There are no 2's in one unit so the 1 unit is written over the divisor thus,, and is placed beside the other figures in the quotient. The answer is read one hundred seventy-two and one half. 2301 2× 230 or 460, +1, the remainder, will equal 461, the dividend. Divide by 2 and test; by 3: |