9. If the population of New York City at this time was 5,873,356, what was the cost per capita for the instruction of these pupils?

10. A store sold some goods for cash and some goods on account. Find the total sales from the figures given here.

11. Complete the following by subtracting the cost of the goods sold from the sales (selling price) to find the margin of increase (gross profit); then subtract the expenses from the margin of increase to find the profit (net profit). Use totals of columns to check your work.

In the following examples first determine which short process can be used in solving each example. This will test your ability to simplify your work by the use of short-cuts.

Then solve each example by the short-cut selected for it. This work will test your habit of accuracy.

If you want to test your speed, first work the examples in full. Then do them again, using short processes. Make a note of the time taken in each case. Compare.

Write the results only to the following:

1. 56 pounds at 25¢.

2. 24 lbs @ 121¢.

3. 48 qts. @ 16. 4. 72 yds. @ 371⁄2¢. 5. 21 lbs. @ 331⁄2¢. 6. 352 yds. @ 12. 7. 1320 lbs. @ 163¢. 8. 56 yds. @ 10¢. 9. 28 lbs. @ 50¢. 10. 48.8 lbs. @ 124¢. 11. 56.04 lbs. @ 16.

12. 84.15 lbs. @ 331¢. 13. 72.24 lbs. @ 25¢. 14. 48.65 lbs. @ 20¢.

15. 6 yds. @ 50¢.

16. 11 yds. @ 10¢.
17. 8 lbs. @ 25¢.
18. 183 lbs. @ 33}¢.
19. 16 lbs. @ 25¢.
20. 20 yds. @ 20¢.
21. 25 yds. @ 16¢.
Hint: This is the same as
16 yds. @ 25¢.

22. 20 yds. @ 15¢.
23. 33 yds. @ 24¢.
24. 16 lbs. @ 48¢.
25. 12 lbs. @ 72¢.

Food Problems

The principal food fuels are proteins, used to build and repair tissues; the carbohydrates, used to furnish heat and body power; and the fats, which are used to form fat tissues.

The unit of heat is a Calorie. It is the amount of heat required to raise one pound of water 4° Fahrenheit in temperature.

1. A boy of 16 weighing 120 pounds needs about 2400 Calories of fuel per day, while a boy of 14 needs about 24 Calories per pound of his weight of 120 pounds. How many Calories will the latter require?

2. How many Calories would you need if you require about 28 Calories a day per pound of weight?

3. 100 Calories of oysters cost $.12 while 100 Calories of corn meal cost $.0016. The oysters will cost about times as much as the corn meal.

4. If a boy ate 1 egg (80 C.), 1 serving of oatmeal (100 C.), 2 rolls (200 C.), a glass of milk (150 C.), a tablespoonful of cream (55 C.), and 100 C. of sugar for his breakfast, how many Calories of food fuel in his breakfast?

5. A family allowed $700 for their yearly food bill. If they allowed 15% for fruit and vegetables, 12% for bread and cereals, 45% for dairy farm products (milk, cream, butter and cheeses), 5% for eggs, 4% for sugars, 13% for meats, and 6% for other foods, how much was spent for each item?

6. The relative costs of the same amount of body building tissues of eggs to potatoes is about as 2 is to 1. If a certain amount of eggs costs 40 cents, what would be the cost of an equivalent food value of potatoes?

7. If 2 cups (a pint) of milk weigh one pound and a pound of milk contains about 330 Calories, how many Calories will you get if you drink a quart of milk a day?

8. Porterhouse steak yields about 1100 Calories per pound and round steak 900. Which is the cheaper fuel food, the former at 50 cents a pound or the latter at 30 cents a pound? How much cheaper?

Let your work where you can.

Cumulative Review

of last year help you. Use short-cuts

1. If the distance from New York to London is 3740 miles and an ocean liner makes the trip in 5 days, what is the average speed per day?

2. Two men start from the same place and travel in opposite directions. One travels 150 miles a day, and the other 175 miles a day. How far apart are they in 5 days?

3. A town used 56,850 gallons of water in a day. How many gallons will it use in 365 days?

4. If of a yard of cloth cost $1.20, what will 4 yards cost at the same price?

5. 3 times a man's money is $1800. How much money has he?

6. Find the total sales for 1926 and 1927 of the following chain stores. In each case what was the 1927 increase over the sales of 1926?

7. A rug 9 feet by 12 feet sold for $96. What was the price per square yard?

8. An automobile was sold for $600, the seller gaining 20% over what it cost him. How much did it cost him? What was his gain?

9. What is the net cost of goods listed at $4560 with discounts of 12% and 5%?

10. Find the per cent increase or decrease in automobile deaths from the following information :

Watch for the green light. It may keep you out of the

hospital.