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?

Lyra only paid $480 for the pair of shoes which is only 100% - 20% = 80% of the original price.

So let x be the original price.

Then 0.8x = $480

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? Ivan's dog weighs 63/7 = <<63/7=9>>9 pounds. 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? 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. His speed on the next 2 kilometers was 150 + 50 = <<150+50=200>>200 kilometers per hour. Hence, it took him 2 km/200 km per hr. = 1/100 of an hour to finish the next 2 kilometers. His speed on the remaining 1 kilometer is 150 x 2 = <<150*2=300>>300 kilometers per hour. Hence, it took him 1/300 of an hour to finish the 1 kilometer. So, the total time it took for Skye to complete the race was 1/50 + 1/100 + 1/300 = 1/30 of an hour. 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? If Emani has $150, Howard has $150 - $30 = $<<150-30=120>>120 In total, they have $120 + $150 = $<<120+150=270>>270 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? Addie put 72/4=<<72/4=18>>18 stamps in the scrapbook 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 $250 and the MRI is triple that cost. Insurance covers 80%. How much did he pay? The MRI cost 250*3=$<<250*3=750>>750 So between the two things he pays 250+750=$<<250+750=1000>>1000 Insurance covered 1000*.8=$<<1000*.8=800>>800 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? There are 300 x 2/3 = <<300*2/3=200>>200 females in the school. So, 300 - 200 = <<300-200=100>>100 are males. Out of the 100 males, 100 x 1/10 = <<100*1/10=10>>10 are male foreign students. Thus, there are 100 - 10 = <<100-10=90>>90 non-foreign male students. #### 90 Niko has bought 9 pairs of socks that cost $2 each and plans to resell them. He wants to gain 25% profit from four of the pairs of socks and $0.2 profit each for the other 5 pairs of socks. How much will his total profit be? Niko will earn $2 x 25/100 = $<<2*25/100=0.5>>0.5 profit for each of the first four pairs of socks. So, his total profit for the four pairs of socks will be $0.5 x 4 = $<<0.5*4=2>>2. His total earnings for the 5 pairs of socks is $0.2 x 5 = $<<0.2*5=1>>1. Therefore, his total profit will be $2 + $1 = $<<2+1=3>>3. #### 3 Jana is 5 inches taller than Kelly, and Kelly is 3 inches shorter than Jess. If Jess is 72 inches tall, how tall is Jana? Kelly is 72-3=<<72-3=69>>69 inches tall. Jana is 69+5=<<69+5=74>>74 inches tall. #### 74 Calvin is a bug collector. In his collection, he has 12 giant roaches, 3 scorpions, half as many crickets as roaches, and twice as many caterpillars as scorpions. How many insects does Calvin have in his collection? With half as many crickets as roaches, he has 12/2=<<12/2=6>>6 crickets. With twice as many caterpillars as scorpions, he has 3*2=<<3*2=6>>6 caterpillars. In total, he has 12+3+6+6=<<12+3+6+6=27>>27 insects in his bug collection. #### 27