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6. (a) The part of the financial report of a city school

system for a year, with figures given in round numbers, is as follows:

Tuition Fund, $1,000,000

Salaries of elementary principals and

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(b) What per cent of the total was spent on tuition? on administration? on sinking fund? (Find out what is meant by a sinking fund.) On permanent improvements? on operating expenses? (c) What per cent of the tuition fund was spent on elementary schools? on intermediate or junior high schools? on senior high schools?

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Find the cost of tuition for each pupil in the ele

mentary school; in the intermediate school; in the high school.

7. From a school report of your own city, find the various per cents of expenditures and cost for each pupil in each kind of school, and compare with the foregoing.

G. RAPID CALCULATION IN FRACTIONS AND PER CENTS

A few common fractions and their corresponding per cents are used in business more than others.

Fill in the blanks in the following table to show these fractions in their different forms:

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These fractions and their equivalent per cents should be learned as thoroughly as the multiplication tables, for they are used almost as much. Practice on these daily.

H. EVERYDAY USES OF PER CENTS

I. In Attendance

1. (a) If one-fifth of your class is absent, what per cent is absent? What per cent is present?

or

(b) If your class enrolls 40 pupils, how many are absent? How many are present?

(c) Solution:

20% of 40 pupils of 40 pupils

=

= 8 pupils absent

20% of 40 pupils = .20 or .2 of 40 pupils

(d) Explanation:

==

= 8 pupils absent

In finding any per cent of a number, either its decimal or common fraction equivalent may be used. Sometimes one is more convenient than the other. Be sure to use the more convenient form.

(e) How many fifths of your class equals the whole enrollment?

(f) What per cent of your class equals the enrollment? (g) Give three ways in which to find the number of pupils present.

(h) Is it correct to say

=

the enrollment? The problem states the enrollment 40. The frac

tion 1. Can 1 equal 40?

=

=

=

(i) Is it correct to say let 100% the enrollment? 100% 100 1.00 1. Can 100%

=

=

=

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(j) Is it correct to write the statement as follows:

100% of the enrollment = 40?

Always be careful that every statement in your problem tells the truth.

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2. A school has four large registration rooms. enrollments and per cents of attendance are as follows:

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(a) Find the number present and the number absent

in each room.

(b) Find the total enrollment, the total number present,
and the total number absent in the school.

(c) Find the per cent of attendance for the school.
(d) What per cent of the school was absent?

II. In Budgets

1. (a) All good business men and thrifty housekeepers not only keep a strict account of all the money received and spent, but they plan for a month or a year ahead just how much they can afford to spend for the various items of expense. Such a plan is called a budget.

(b) If a school boy is allowed $1.50 a week, and he plans that he must spend 75¢ for lunches, 15¢ for pencils, pens, and paper, 25¢ for car fare, and finds he can use 20¢ for recreation and save 15¢, he is making a personal weekly budget.

(c) Why is it wise for everyone to make a budget?

2. (a) The following table shows the budgets for three families. Find the amount spent for each item of expense by each family.

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(b) Which family spends the largest per cent of its income on food? Which spends the largest amount on food?

(c) State the item under which each of the following

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3. (a) Mrs. Green keeps an itemized memorandum of money she spends. Instead of listing the items

in one column, she lists them in the six classes of expense.

(b) Classify the items listed in the following memorandum:

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