A store sold a certain brand of jeans for $40. They only have few pairs of jeans left so they decided to give 10% discount on every two pairs of jeans bought by a customer at any one time. How much will a customer pay for 3 pairs of jeans?
How much do two pairs of jeans cost? ** Two pairs of jeans cost $40 x 2 = $
<<40*2=80>>80. How much will a discount be given? ** A discount of $80 x 10/100 = $<<80*10/100=8>>8 will be given for this. How much will two pairs of jeans cost after the discount? ** Hence, the cost of two pairs of jeans will now be $80 - $8 = $<<80-8=72>>72. How much will a customer pay for 3 pairs of jeans? ** Therefore, the customer will pay $72 + $40 = $<<72+40=112>>112 for the three pairs of jeans. #### 112 A pelican caught 13 fish and a kingfisher caught 7 more fish than the pelican. If a fisherman caught 3 times the total amount of fish the pelican and kingfisher caught, how many more fish did the fisherman catch than the pelican? How many fish did the kingfisher catch? ** The kingfisher caught 13 + 7 = <<13+7=20>>20 fish. How many fish did the pelican and kingfisher catch? ** The pelican and kingfisher caught 13 + 20 = <<13+20=33>>33 fish How many fish did the fisherman catch? ** The fisherman caught 3 x 33 = <<3*33=99>>99 fish How many more fish did the fisherman catch than the pelican? ** The fisherman caught 99 - 13 = <<99-13=86>>86 more fish than the pelican. #### 86 Tonya has $150.00 on her credit card. If she leaves any balance on her card at the end of the month, she is charged 20% interest. If she makes a $50.00 payment on her card, what will be the new balance? How much is the new balance? ** Her card has a $150.00 balance and she makes a $50.00 payment so the new balance is 150-50 = $<<150-50=100.00>>100.00 How much is the interest? ** She didn't pay it off so she is charged 20% interest on her $100.00 balance so the interest is .20*100 = $20.00 What is the new balance? ** Her balance was $100.00 and she was charged $20.00 in interest so her new balance is 100+20 = $<<100+20=120.00>>120.00 #### 120 Lyra bought a pair of shoes at a 20% discount. If she paid $480, how much was the original price of the pair of shoes? How much did Lyra pay? ** Lyra only paid $480 for the pair of shoes which is only 100% - 20% = 80% of the original price. Define a variable ** So let x be the original price. Write an equation ** Then 0.8x = $480 Simplify ** Thus x = $480 / 0.8 = $<<480/0.8=600>>600 #### 600 Evan’s dog weighs 63 pounds; it weighs 7 times as much as Ivan’s dog. Together, what is the weight of the dogs? How much does Ivan's dog weigh? ** Ivan's dog weighs 63/7 = <<63/7=9>>9 pounds. What is the total weight of the dogs? ** Thus, the two dogs weigh 63 + 9 = <<63+9=72>>72 pounds. #### 72 In a car racing competition, Skye drove a 6-kilometer track. For the first 3 kilometers, his speed was 150 kilometers per hour. For the next 2 kilometers, his speed was 50 kilometers per hour more. For the remaining 1 kilometer, his speed was twice as fast as his speed on the first 3 kilometers. What is Skye's average speed for the entire race? How long did it take Skye to finish the first 3 kilometers? ** Since time is obtained by dividing distance and speed, then Skye took 3 km/150 km per hr. = 1/50 of an hour to finish the first 3 kilometers of the race. How fast was Skye on the next 2 kilometers? ** His speed on the next 2 kilometers was 150 + 50 = <<150+50=200>>200 kilometers per hour. How long did it take Skye to finish the next 2 kilometers? ** Hence, it took him 2 km/200 km per hr. = 1/100 of an hour to finish the next 2 kilometers. How fast was Skye on the remaining 1 kilometer? ** His speed on the remaining 1 kilometer is 150 x 2 = <<150*2=300>>300 kilometers per hour. How long did it take Skye to finish the 1 kilometer? ** Hence, it took him 1/300 of an hour to finish the 1 kilometer. What is Skye's average speed for the entire race? ** So, the total time it took for Skye to complete the race was 1/50 + 1/100 + 1/300 = 1/30 of an hour. What is Skye's average speed for the entire race? ** Therefore, his average speed for the entire race was 6 km/ 1/30 hour = 180 kilometers per hour. #### 180 Emani has $30 more money than Howard. If Emani has $150, and they decide to combine and share the money equally, how much money does each get? How much money does Howard have? ** If Emani has $150, Howard has $150 - $30 = $<<150-30=120>>120 How much money do they have in total? ** In total, they have $120 + $150 = $<<120+150=270>>270 How much money does each get? ** When they share this money equally, each gets $270 / 2 people = $<<270/2=135>>135/person #### 135 There were 18 stamps in Parker’s scrapbook. If Addie put one fourth of her 72 stamps in Parker’s scrapbook, how many stamps does he have now? How many stamps did Addie put in the scrapbook? ** Addie put 72/4=<<72/4=18>>18 stamps in the scrapbook How many stamps does Parker have now? ** Parker now has 18+18=<<18+18=36>>36 stamps in his scrapbook #### 36 Mike has to get an x-ray and an MRI. The x-ray is $250 and the MRI is triple that cost. Insurance covers 80%. How much did he pay? How much did the MRI cost? ** The MRI cost 250*3=$<<250*3=750>>750 How much did Mike pay? ** So between the two things he pays 250+750=$<<250+750=1000>>1000 How much did insurance cover? ** Insurance covered 1000*.8=$<<1000*.8=800>>800 How much did Mike have to pay? ** So he had to pay 1000-800=$<<1000-800=200>>200 #### 200 At a certain school, 2/3 of the population are females. One-tenth of the males are foreign students. If the school has 300 students, how many students are non-foreign male students? How many females are there? ** There are 300 x 2/3 = <<300*2/3=200>>200 females in the school. How many males are there? ** So, 300 - 200 = <<300-200=100>>100 are males. How many male foreign students are there? ** Out of the 100 males, 100 x 1/10 = <<100*1/10=10>>10 are male foreign students. How many non-foreign male students are there? ** Thus, there are 100 - 10 = <<100-10=90>>90 non-foreign male students. #### 90