# First-Year Mathematics for Secondary Schools Volume 1

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1915 edition. Excerpt: ...Check the results by substituting in the original equation. = 3 7. The shadows of a tree and a 5-ft. rod are 96 ft. and 8 ft. respectively. Find the height of the tree. 8. If 2" on a map represent 21 mi., what distance on the map represents 50 miles? 9. Solve the following equations: 15, x x y+4 2/+3!+ 3 2-3 Alloy Problems Solve the following problems: 1. In an alloy of silver and copper weighing 90 oz., there are 6 oz. of copper. Find how much silver must be added so that 10 oz. of the new alloy shall contain f oz. of copper. Let x be the number of ounces of silver added. Then 90+x is the number of oz. in the new alloy. Since (90+x) oz. of the new alloy contain 6 oz. of copper, Q0+x, 'oz. contain 1 oz. of copper. Similarly, since 10 oz. of the new alloy contain f oz. of 10, copper, --oz. contain 1 oz. of copper., . 90 +x 10 Therefore---=--5 1(90+) =6.10 36+ = 60 o x = 60 2. If 80 Ib. of sea-water contain 4 Ib. of salt, how much fresh water must be added to make a new solution of which 45 Ib. contain f Ib. of salt? 3. In a mass of alloy for watch-cases, which contains 60 oz., there are 20 oz. of gold. How much copper must be added so that in a case weighing 2 oz. there will be 5 oz. of gold? 4. In an alloy weighing 80 grams, there are 34 grams of gold. How much nickel must be added so that a ring made from the new alloy and weighing 1 grams shall contain 4 gram of gold? J5. In an alloy weighing a oz. there are b oz. of gold. How much of another metal must be added so that a portion weighing c oz. shall contain d oz. of gold? 6. Gun metal is composed of tin and copper. 4,100 Ib. of gun metal of a certain grade contain 3,444 Ib. of copper. How much tin must be added so that 2,100 Ib. shall contain 1,722 Ib. of copper? Lever Problems...show more

## Product details

• Paperback | 72 pages
• 189 x 246 x 4mm | 145g
• Miami Fl, United States
• English
• black & white illustrations
• 1236559827
• 9781236559821