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23. Separate the number 240 into three parts the second of which shall be 3 times the first and the third 4 times the first.

24. What number diminished by 50 equals 712?

25. What number divided by 17 equals 20 ?
26. What number multiplied by 25 equals 625 ?
27. What number increased by 83 equals 214?

28. What number decreased by 20 % of itself equals 40? 29. What number increased by 20% of itself equals 30? 30. Separate 100 into two parts, the smaller of which, x, equals of the larger part.

31. A mother is 4 times as old as her daughter, and the sum of their ages is 40 years. How old is the daughter?

The mother?

32. The sum of the three sides of a triangle is 24 inches. If the second side is three times the first, and the third side twice the first, how long is each side?

33. Two poles are together 55 feet long. If one is 4 times the length of the other, how long is each?

34. Construct and solve six problems, one each like problems 24-29 on this page.

[blocks in formation]

Angle, 171.

Avoirdupois weight, 166, 326.
Axis, 344.

Bale, 186.

Bank check, 304.

Bank discount, 257-266.

Bank draft, 305.

Barbed wire, 358.
Barrel, 164.
Base, 336.

Base line, 330.

Bill of exchange, 305, 308.
Bills, 47-49.

Board foot, 176.

Bonds, 310.

Books, table of folding, 186.
Broker, 224, 311.

Brokerage, 224, 311.

Bundle, 186.

Bushel, 164.

Animals, live and dressed weight Cancellation, 97-99.

of, 361, 362.

[blocks in formation]

Capacity, common measures of, 164.

metric measures of, 332.

[blocks in formation]

Circumference, of circle, 182, 342.

of sphere, 345.
Cistern, 164.

Combined operations, 67.
Commercial discount, 223.
Commercial draft, 306.
Commission, 224-226.
Commission merchant, 224.
Common denominator, 88.
Common divisor, 77.
Common factor, 77.
Common fractions, 83-134.
addition of, 92-97.
division of, 105–111.
general problems in, 112–124.
multiplication of, 99–104.
reduction of, 86-91.

relation to percentage, 124-132.
subtraction of, 91-97.

Common multiple, 78.

Company, 310.

Cube, 178.

Cube of number, 285.
Cube root, 319-325.

Cubic common measure, 178.
Cubic metric measure, 332.
Cylinder, 344.

Day, 181.

Days of grace, 241.
Debtor, 47.

Decimal fractions, 135–162.
addition of, 140, 141.
division of, 143–147.

multiplication of, 141-142.

notation and numeration of, 135–
140.

reduction of, 147–149.

relation to common fractions and

percentage, 154–160.

subtraction of, 140, 141.
Decimal point, 135.

Comparison of decimals, fractions, Degree, 182.

percentage, 154.

Complex fractions, 107.
Composite number, 72.

Compound denominate numbers,

defined, 163.

[blocks in formation]
[blocks in formation]
[blocks in formation]
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