Exercises in Arithmetic

516. Three masons working together built a wall in 12 days. The first, working alone, could have built it in 32 days, and the second in 36 days. If $96 is paid for building the wall, how much should each mason receive?

517. If 19 pounds of silver are alloyed with 31 pounds of copper, how many pounds of each of these metals are there in 191 pounds of the alloy?

518. Three brothers buy a farm, the first taking of it, the second, and the third the remainder. The third paid $1722 for his part, which measured 42 acres. What did each of the others receive, and what did he pay?

tin.

519. Bell-metal consists of 4 parts of copper to 1 part of

What will a bell weighing 12,400 pounds cost, if the copper costs 19 cents per pound, and the tin 22 cents per pound, and the cost of making, etc. is $500?

520. A tailor cuts 94 yards of cloth from a piece measuring 44 yards. How many vests, each requiring 14 yards, can he make with the remainder?

521. The sum of 1 and 4 of a number is 1611. What is the number?

523. Find the total annual cost of a house, of which the rent is $864, the gas-rate is of the rent, the water-rate is of the gas-rate, and the expense of clearing the sidewalks from snow is of the water-rate.

525. How many tons of ore must be taken from a mine that, after a loss of 17 in roasting, and of the residue in smelting, there shall remain 506 tons of pure metal?

526. A laborer has to spend 45 cents per week on bread when it is at 64 cents a loaf. If the price rise to 7 cents a loaf, how much less bread must his family eat in a week, that it may cost him the same as before?

527. A freight train leaves a station, and travels at the rate of 10 miles an hour; after 4 hours another train follows from the same station, travelling 16 miles an hour. How many miles must the second train travel before it comes up with the first?

528. A farmer has his sheep in two pastures; the number in one is three-fifths the number in the other. If there be 480 in the whole flock, how many are there in each pasture?

530. A gentleman, by his will, gave of his property to his eldest son, to the next, to the third, and the rest to the youngest. The portion of the youngest was $47,400. What was the value of the entire property?

531. A can do a piece of work in 3 hours, B in 34 hours, and C in 4 hours. In how many hours can they do it, working together? If $3 is paid for doing the work, what is each man's share?

532. The amount of starch in potatoes is of their weight, but the amount that can usually be extracted is only. How many pounds weight of starch can be obtained from 100 pounds of potatoes, and how much is left in the potatoes after the process of extracting is ended?

533. A man walking 18 miles finds that the distance he has walked in 1 hour 40 minutes is of the remaining distance. Find his rate of walking.

534. A grocer mixes equal weights of raw Java coffee, costing 24 cents per pound, and Rio coffee, costing 14 cents per pound. The loss in weight by roasting and grinding is. At what price per pound must he retail the mixture in order to make a gross profit of 2 cents per pound?

535. Green coffee when roasted loses of its weight. A dealer buys raw coffee at 22 cents per pound, and sells it roasted at 30 cents per pound. What will be his gain or loss in filling an order for 1000 pounds of roasted coffee, if the cost of roasting be $2.25?

536. When flour is worth $7.35 per barrel (196 pounds), what ought to be the price of half-pound loaves of bread, assuming that 4 pounds of flour make 5 pounds of bread, and allowing to the baker a profit just equal to the cost of the flour?

537. If grapes yield of their bulk of wine and wine yields of its bulk of alcohol, and a quart of alcohol weighs 15 pounds, how many pounds of alcohol can be made from 100 bushels of grapes?

538. A farmer planted of a field with corn, with potatoes, and the rest, amounting to 2 acres, with oats. He harvested 660 bushels of corn, 1080 bushels of potatoes, and 105 bushels of oats. What was the yield of each in bushels per acre?

539. If an iron bar, when heated from 0° to 1° of the centigrade thermometer, expands by 700 of its length, what will be the length in feet at 30° of a bar whose length at 0° is 10 feet?