Percentage. 223. PERCENTAGE PROBLEMS UNDER CASE II, IN WHICH THE PER CENT IS MORE THAN 100. $1107.05 is 175% of how much money? Percentage. 224. PERCENTAGE PROBLEMS UNDER CASE III, IN WHICH THE PER CENT IS MORE THAN 100. $1107.05 is what per cent of $632.60? * solved as a similar problem is $1107.05 is 110708 of $632.60. NOTE.-The above problem may be solved on page 125, Operation No. 1. Perform the division indicated carrying out to hundredths only. The quotient will be 1.75 or 17% = = 175%. PROBLEMS. 1. What per cent of 845 is 2112.5? (a) Find the sum of the 5 answers. 6. Reuben has $2420; Bernie has $4961. Bernie's money equals how many per cent (hundredths) of Reuben's money? 7. A certain house cost $6425. The lot upon which it stands cost $2325. (a) The cost of the house equals how many per cent (hundredths) of the cost of the lot? (b) The cost of the lot equals how many per cent (hundredths) of the cost of the house? * See "Operation and Explanation, No. 4," page 125. Percentage. 225. MISCELLANEOUS PROBLEMS. 1. Find %* of 632; of 356; of 272. (a) Find the sum of the nine results. 4. Find 3% of 496; of 532; of 720. 7. What part of 94 is 11? What per cent? What per cent? What per cent? (c) Find the sum of the three "per cents." 10. 15 is 3% of what number? 4%? 5%? (d) Find the sum of the nine answers. 5% ? less than what number? § 17. 545 is 25 % more than what number? 18. 510 is 170% of what number? (f) Find the sum of the three answers. *This means of 1 per cent. This means find 25 hundredths of 1 per cent. Answer with a common fraction in its lowest terms. § If it is 15 per cent less than the number it is 85 per cent of the number. Algebra. 226. TO FIND TWO NUMBERS WHEN THEIR SUM AND DIFFERENCE ARE GIVEN. 1. The difference of two numbers is 4 and their sum is 20. What are the numbers? 2. The difference of two numbers is 9 and their sum is 119. What are the numbers? 0 3. The difference of two fractions is and their sum is 3. What are the fractions? 4. The difference of two numbers is d and their sum is s. What are the numbers? Let then x = the smaller number x + d = the larger number, and x + x + d = S Transposing x + x = s d d d 2 Observe that any number you please may be put in the place of s; and any number less than s, in the place of d: so when the sum and the difference of two numbers are given the smaller number may be found by subtracting the difference from the sum and dividing the remainder by 2. 5. The difference of two numbers is 327, and their sum is 1159. What are the numbers? Algebra. 227. ANOTHER Method of FINDING TWO NUMBERS WHEN THEIR SUM AND DIFFERENCE ARE GIVEN. 1. The difference of two numbers is 17 and their sum is 69. What are the numbers? 2. The difference of two numbers is 8.4 and their sum 75.6. What are the numbers? 3. The difference of two numbers is d and their sum is s. What are the numbers? Observe that any number you please may be put in the place of s and any number less than s in the place of d; so when the sum and difference of two numbers are given the larger may be found by adding the difference to the sum and dividing the amount by 2. 4. A horse and a harness together are worth $146, and the horse is worth $74 more than the harness. Find the value of each. |