472. What is the greatest common divisor of †,§, and 4!

31

473. Add 2, 3, 4, 1, 15, and 1.

474. What is the value of of of of ?

475. How many bottles, capable of holding 14 pints each, will it take to contain 112 pints?

476. Multiply of 14 of 5 by 24 times 7.

477. Divide 2 × 5 × 510 by 6 times .

478. What will 7

weigh 2212 lbs. ?

cubic feet of lead weigh, if 34 cubic feet

479. From 3 of 3 of 4 take of 18 of 28 of 1.

480. Find the least number that can be divided by 24, 31, 41, and without a remainder.

481. What is the greatest common divisor of 1, 2, and 41⁄2? 24 × 43 × 6/3/

482. Simplify

483. Express 138 × 54 in its lowest terms.

484. What will 59% quarts of wine cost, at $1.12 for of a quart?

485. A vessel sails 61 miles in 4 hours; how long will it take her to go 310 miles?

486. How many times is 39 contained in 297? 487. How many times is 43 contained in 74 ? 488. How many times is 33 contained in 6?

489. A and B together bought 21 tons of hay, at $17 per ton, A's part costing $3 more than B's; A sells of his hay at $18 per ton, and the rest at $17.60 per ton; B sells all of his at the rate of $1313 for 3 of a ton. How much money does each gain?

490. Divide $39.45 among 23 boys and 37 girls, and give to each boy 15 cents more than each girl receives; how much money will each boy and each girl receive?

491. of a certain number is 72 less than the number itself; what is the number?

492. A man sold of a flock of sheep, and lost of what remained, and then had 44 sheep; how many were there in the flock at first?

493. 1897 acres are 892 acres more than of Smith's land; how many acres are there in Smith's land?

494. With of his money John can buy 13 more oranges, at 2 cents apiece, than he can buy with of his

much money has he?

money; how 495. If a car-wheel is 8 feet in circumference, how many times will it turn in running 127 miles, 1 mile being equal to 5280 feet?

496. A man owning of a ship sold of his share for $3050; what is the value of the whole ship, at this rate?

497. If A can mow two acres of grass in 10 hours, and B can mow of an acre in 44 hours, how many acres can they mow, working together, in 6 hours?

17.

64

498. 11 is the product of two fractions, one of which is ; what is the other?

499. What fraction divided by of gives a quotient equivalent in value to

11% ?

221

500. 354 is 7852 less than the sum of two numbers, and the greater number is 55 more than the less; what are the numbers?

501. The product of three factors is 15, and two of the factors are and; what is the third factor?

502. What number diminished by of itself equals 160§? 503. A paid of his money for clothes, and $39 on account of rent, and then had of the original sum left; how much money had he at first?

504. Bought of of a ship for of of $119000; what was the whole value of the vessel at the same rate?

505. A certain farm consists of 5 fields; the first contains 17 acres, the second 12 acres, the third contains as much as the first two, the fourth 19 acres, and the fifth contains a quantity equal to the difference between the third and fourth; how many acres in the farm?

506. If a boy can do a certain work in 17 days, what part of it can he do in 11 days?

509. What part of 1547 is 380? Of 380 is 1547 ?

510. What part of 246 is 72?
511. What part of 316 is 104?
512. What part of 26 is
513. What part of 310 is 83?
514. What part of 65 is 41?

Of $.246 is $.72?

Of 14 is 1?

? Of

is 26?

Of is ?

515. What part of 733 is 15?

Of 13 is 64?

Of 31 is 41?

516. What part of $3.55 is $.65? Of is ?

517. Out of 16 pounds of coffee I sold 5 pounds; what fraction of the whole did I sell?

518. From 11 acres of land I sold 21 acres; what fraction of the whole did I sell?

519. From 16 yards of cloth, 43 yards were sold; what fraction of the whole remained?

520. Out of 423 gallons of oil, 173 gallons were sold; what part of the whole was sold?

521. A man had 163 dozen eggs, and sold 64 dozen; what fractional part of the remainder was the part sold?

522. If 24 cubic feet of stone make a perch, what part of 3 perches is 4 cubic feet?

523. From an acre of land (4840 square yards) I sold 301 square rods 9 square yards; what part of an acre did I sell, if 160 rods make an acre, and 304 yards make a rod?

524. What part of two hundred and fifty dollars five mills is $3.17?

525. What part of 2724 square feet is of 91 times 31 square feet?

526. What part of 14 barrels is 16 gallons, if 31 gallons make a barrel?

527. If 10080 minutes make a week, what fraction of 44 weeks is 1260 minutes?

528. 616 yards is

CASE II.

of the number of yards in a piece of rope; how long is the rope?

529. A steamboat traveled 189 miles in the day, which was of the distance it went in the night; how far did it go in the night?

530. Mr. Williams owns 6 horses, which is of the number of his cows, and the number of his sheep; how many animals has he?

531. John loses $14, which is of what he has left; how much had he at first?

532. If of a pound of tea cost $.96, what cost 5 pounds? 533. If 5 yards of cloth cost $5.10, what cost 16 yards? 534. A boy rowed 12 miles with the tide, which is 1⁄2 of the distance he rowed against it; how far did he row altogether? 535. John shot 231 birds, which is of the number shot by James; how many did both shoot?

536. If $63 is the cost of 5 yards of cloth, what will 134 yards cost?

537. If

of the value of a house is $1752, what is the value of of the house?

538. Paid $12250 for 13 of an estate; what is the value of of the estate at the same rate?

539. 1760 yards is of how many yards?

540. If of a certain number is 27, what is the number? 541. Bought of a farm for of its value; what would the whole farm have cost me at the same rate, if of its value is of $16000?

542. If 94 pounds of sugar cost 92 cents, what cost 2251 pounds, at the same rate?

543. A farmer paid $229.50 for some cattle, which is

of what he paid for some improvements on his farm; what was of the cost of the improvements?

544. If of a barrel of flour costs $4.50, what is the cost of 231 barrels, at the same rate?

BILLS AND ACCOUNTS.

1. FIND the cost of each article in the following bill, and write the sum in the outer column:

Make out the following bills in proper form:

2. Henry Smith, of Chicago, sold J. K. Wilkins, Jan. 5, 1878, 635 pounds of honey, at 33 cents a pound; 61 firkins of butter, each containing 25 pounds, at $.43 a pound; 603 cans of tomatoes, at $.25 a can.

3. Frank Johnson, of Washington, D. C., sold Peter N. Sloan, May 16, 1877, 2140 gallons of wine, at $5.75 a gallon; 1450 gallons of brandy, at $4.50 a gallon; 25 cases of brown stout, each holding 2 dozen bottles, at $.15 a bottle.

4. James Howard, of New York, sold Millard, Bowens & Co., August 17, 1876, 643 bushels of wheat, at $.93 a bushel; 715 bushels of corn, at $.65 a bushel; and 550 bushels of rye, at $.48 a bushel.

5. J. North & Co., of Philadelphia, sold Powers & Weightman, Feb. 26, 1879, 61 tons of stove coal, at $5.75 a ton; 45 tons of egg coal, at $6.25; and 25 tons of broken coal, at $6.45 a ton.