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Additional resources for Pre-Algebra Demystified
6-9). R Fig. 6-9. instance forty two% of how many is 294? resolution Draw the circle and position forty two within the percentage part and 294 within the ‘‘is’’ part (see Fig. 6-10). 118 bankruptcy 6 percentage Fig. 6-10. switch forty two% to zero. forty two and divide: 294 Ä zero. forty two ¼ seven hundred. instance 36 is eighty% of how many? resolution Draw the circle and position 36 within the ‘‘is’’ part and eighty within the percentage part (see Fig. 6-11). Fig. 6-11. switch eighty% to zero. eighty and divide: 36 Ä zero. eighty ¼ forty five. perform 1. 2% of how many is forty six? 2. one hundred fifty is 50% of how many? three. forty two is 60% of what percentage? four. 30% of how many is 27? five. 18. 6% of how many is 139. five? bankruptcy 6 percentage 119 solutions 1. 2300 2. three hundred three. 70 four. ninety five. 750 note difficulties percentage notice difficulties should be performed utilizing the circle. within the reduce left part position the speed or percentage. within the decrease correct part position the bottom or entire, and within the top part, position the half (see Fig. 6-12). Fig. 6-12. which will clear up a percentage challenge: Step 1 learn the matter. Step 2 determine the bottom, cost (%), and half. One may be unknown. Step three replacement the values within the circle. Step four practice the right kind operation: i. e. , both multiply or divide. instance On a attempt such as forty difficulties, a scholar acquired a grade of 95%. How many difficulties did the scholar solution competently? resolution position the speed, 95%, and the bottom, forty, into the circle (see Fig. 6-13). a hundred and twenty bankruptcy 6 percentage Fig. 6-13. switch ninety five% to zero. ninety five and multiply zero. ninety five forty ¼ 38. for that reason, the coed acquired 38 difficulties right. instance A soccer staff gained nine of its 12 video games. What percentage of the video games performed did the crew win? resolution position the nine within the ‘‘part’’ part and the 12 within the ‘‘base’’ component to the circle (see Fig. 6-14). Fig. 6-14. Then divide nine ¼ nine Ä 12 ¼ 0:75. therefore, the staff gained seventy five% of its video games. 12 instance The revenues tax fee in a definite nation is 6%. If revenues tax on an vehicle was once $1,110, locate the cost of the car. answer position the 6% within the ‘‘rate’’ part and the $1,110 within the ‘‘part’’ part (see Fig. 6-15). bankruptcy 6 percentage 121 Fig. 6-15. swap the 6% to zero. 06 and divide: $1,110 Ä 0:06 ¼ $18,500. for this reason, the cost of the auto used to be $18,500. one other form of percentage challenge you are going to frequently see is the percentage raise or percentage reduce challenge. during this state of affairs, never forget that the outdated or unique quantity is used because the base. instance A coat that initially price $150 was once diminished to $120. What used to be the percentage of the relief? answer locate the quantity of relief: $150 À $120 ¼ $30. Then position $30 within the ‘‘part’’ part and $150 within the ‘‘base’’ element of the circle. $150 is the bottom because it was once the unique cost (see Fig. 6-16). Fig. 6-16. Divide 30 ¼ 30 Ä a hundred and fifty ¼ 0:20. consequently, the fee was once decreased 20%. a hundred and fifty perform 1. somebody got an merchandise at a fifteen% off sale. the cut price used to be $90. What used to be the general expense? 122 bankruptcy 6 percentage 2. In an English Composition path which has 60 scholars, 15% of the scholars are arithmetic majors. what number scholars are math majors? three. A scholar adequately spoke back 35 of the forty questions about a arithmetic examination.