(a) to (d) Find the number of tickets sold each day. (e) Find the number of children's tickets sold. (f) Find the number of adults' tickets sold. (g) Find the number of single carriage tickets sold. (h) Find the number of double carriage tickets sold. (i) Find the sum of (a) to (d) inclusive, and (e) to (h) inclusive. (j) Find the receipts for tickets sold Wednesday; (k) Thursday; (1) Friday; (m) Saturday; (n) total receipts for tickets sold. (0) Find the receipts for all the children's ticket sold during the week; (p) adults' tickets; (q) single carriage tickets; (r) double carriage tickets. (s) Find the sum of (0), (p), (q), and (r), and compare this sum with the answer to problem (n). days.† 1. From June 28th to July 3rd it is From April 20th to Dec. 10th? *Insist upon accuracy: "90 per cent of accuracy" is failure. †To June 30th is 2 days; to July 3rd, 3 more days. Two and 31 and 3. (u) Reduce the following fractions to equivalent fractions having a common denominator: The 1. c. m. of 8, 4, and 6 is 4. 1, 1, and 1. (m) § and 7. (n) 1 and 2. (0) 15 and 13. 5. Change 8 to a fraction whose denominator is 5. 6. The sum of two numbers is 78; one of the numbers is 32; the other number is 룸. (q) The sum of two fractions is; one of the fractions is . What is the other fraction? 7. If it takes of a yard of cloth to make one vest, from three yards vests can be made. (r) How many vests, each containing & of a yard, can be made from 36 yards? (s) From 48 yards? (t) From 60 yards? Change the following decimal fractions to common fractions. and reduce to their lowest terms: (1) Tell the meaning of each of the following, (2) solve, and (3) tell a suggested number story: ‡ (x) Multiply $475 by .9. (z) Multiply $534 by .07. (bb) Multiply $534 by 2.37. (dd) Multiply $534 by .043. (ff) Divide $724 by $8. (hh) Divide $724 by $.8. (y) Multiply $475 by 2.9. (gg) Divide $724 by 8. (jj) At $12.50 per ton, find the cost of 3.7 tons of hay. (kk) At $9.75 per ton, find the cost of 3.4 tons of hay. *Change these to thousandths. There are 1000 thousandths in a whole (a unit); in of a unit there are of 1000 thousandths. This answer may be written, .333 or 333+. +Observe that you can divide both the numerator and denominator of 12 hundredths by 12. Do not omit the number story, or business problem. The number story for problem (x) might be: Mr. Hoyt bought .9 of an acre of land at $475 an acre; the land cost him dollars. 1. 3000 lb. hay at $6 per ton. 3. 1500 lath at $3 per M. 5. 1250 lb. pork at $4 per cwt. 7. 2500 lb. coal at $5 per ton. 9. 650 lb. beef @ $5 per cwt. 11. 2500 brick @ $8 per M. Find the value : 15. 1 lb. hay at $10 per ton. 19. At 604 a gross, 2 doz. buttons cost cents. (m) At $1.60 per gross, 75 doz. buttons cost how much? (n) Make a receipted bill of the following goods sold by yourself to Christopher Columbus : Sept. 1, 1230 lb. pork @ $4.60 per cwt., and 1080 lb. beef @ $6.75 per cwt. paper costs cents; cents. 20. At $2.40 per ream, 1 quire of cents; 6 sheets cost 12 sheets cost (0) Bought paper @ $2.40 per ream and sold it at 15¢ a quire. What was the gain on 3 reams? (p) At 74 a quire, how much will 1440 sheets of paper cost? *Pork and beef are usually bought and sold by the hundredweight (cwt.), hay and coal by the ton, and lath and brick by the thousand (M.). . MEASUREMENTS. 1. Draw carefully upon your slate or paper, on a scale of in. to the foot, a diagram of a rectangular grass plot 50 ft. by 40 ft. Represent a gravel walk 5 feet wide just outside the grass plot and extending entirely around it. The diagram of the grass plot is and inches long and inches wide. the diagram is The width of the walk as shown in of an inch. The entire length of the figure including the diagram of the grass plot and walk is and inches. (a) How many square feet in the grass plot described in problem 1? (b) How many square yards? (c) The perimeter of the grass plot described in problem 1 is how many feet? (d) How many yards? (e) The perimeter of the outside of the gravel walk described in problem 1, is how many feet? (f) How many yards? (g) The outside perimeter of the gravel walk described in problem 1 is how much greater than the inside perimeter ? (h) How many square feet in the walk? (i) How many square yards in the walk? (j) How much did it cost to make the walk at 54¢ per square yard? 2. A floor 14 ft. by 17 ft. is to be covered with a carpet that is one yard wide. If the breadths are 17 feet long, breadths will be required. If the breadths are 14 ft. long, breadths will be required. (k) If there is no waste in matching, how many yards of carpet will be required for the room described in problem 2 if 17-foot strips are used? (1) How many yards if 14-foot strips are used? |