Mary wants to ride the world's tallest roller coaster, Kingda Ka. The minimum height to ride the roller coaster is 140 cm. Mary's brother is 180 cm, Mary is 2/3 the height of her brother. How many more centimeters does Mary need to grow to ride Kingda Ka?
Being 2/3 of her brother's height, Mary is 180 * 2/3 =
<<180*2/3=120>>120 cm. To reach the minimum height and ride Kingda Ka, Mery needs to grow 140 - 120 = <<140-120=20>>20 cm. #### 20 Lizzy had $30. She loaned out $15 to her friend. How much will Lizzy have if her friend returned the money with an interest of 20%? Initially, Lizzy had $30; she loaned out $15 so she has $30-$15 = $<<30-15=15>>15 left Her friend is returning the $15 with 20% interest for a total of $15+($15*(20/100)) = $<<15+15*(20/100)=18>>18 Lizzy will now have $15+$18 = $<<15+18=33>>33 #### 33 Jordan and Perry took a boat out to the lake to go fishing on a Monday morning. Jordan caught 4 fish and Perry caught double what Jordan caught. On the way back to shore, the boat tipped over and they lost one-fourth of their total catch. How many fish remain? Since Perry caught double what Jordan caught, Perry caught 2 * 4 = <<2*4=8>>8 fish. Altogether, they caught 8 + 4 = <<8+4=12>>12 fish. On the way back to the shore, they lost 12 * 1/4 = <<12*1/4=3>>3 fish. They have 12 - 3 = <<12-3=9>>9 fish remaining. #### 9 At a CD store, 40% of the CDs cost $10 each, and the rest cost $5 each. Prince bought half the CDs sold at $10 each, and all of the CDs sold at $5 each. If the total number of CDs was 200, how much money did Prince spend on buying the CDs? The number of CDs selling at $10 each at the store is 40/100*200 = <<40/100*200=80>>80 This means the store sells 200-80 = <<200-80=120>>120 CDs at $5 each. Prince bought 1/2*80 = <<1/2*80=40>>40 of the CDs selling at $10 each. The total amount of money Prince paid for the 40 CDs selling at $10 each is $40*10 = $<<40*10=400>>400 If he bought all the CDs selling at $5 each, he paid a total of $5*120 = $<<5*120=600>>600 For all the CDs he bought, Prince spent $600+$400= $<<600+400=1000>>1000 #### 1000 Sarah starts saving $5.00 a week for 4 weeks. Then she saves $10.00 a week for the next 4 weeks. Then she saves $20.00 a week for the next 4 weeks. How much money has she saved over 12 weeks? She starts with $5.00 a week for 4 weeks so that’s 5*4 = $<<5*4=20.00>>20.00 Then she bumps it up to $10.00 a week for 4 weeks so that’s 10*4 = $<<10*4=40.00>>40.00 After that, she saves $20.00 a week for 4 weeks so that’s 20*4 = $<<20*4=80.00>>80.00 Over 12 weeks she has saved 20+40+80 = $<<20+40+80=140.00>>140.00 #### 140 Jessica's family is 300 km away from New York. If they are traveling at the rate of 50 km/h and stop to rest for 30 minutes every 2 hours, how long will it take them to reach New York? Without stopping to rest they will arrive in 300/50= <<300/50=6>>6 hours. They need to stop to rest after every 2 hours except for the last 2 hour stretch of time, which is when they reach New York, so they rest (6/2)-1= 3-1 = <<6/2-1=2>>2 times. The time they spend resting is 2*30= <<2*30=60>>60 minutes or 1 hour. So they will arrive in 6+1= <<6+1=7>>7 hours. #### 7 James decides to make a bathtub full of jello. For every pound of water, you need 1.5 tablespoons of jello mix. The bathtub can hold 6 cubic feet of water. Each cubic foot of water is 7.5 gallons. A gallon of water weighs 8 pounds. A tablespoon of jello mix costs $0.50. How much did he spend to fill his tub? The tub has 6*7.5=<<6*7.5=45>>45 gallons That would weigh 45*8=<<45*8=360>>360 pounds So he needs 360*1.5=<<360*1.5=540>>540 tablespoons of jello mix. So he spent 540*.5=$<<540*.5=270>>270 #### 270 Duke was at a garage sale when he spotted DVDs on sale. They were separated by price into 2 different boxes. In the first box, he found 10 movies that he wanted. These were $2.00 apiece. The second box was marked $5 each and he found 5 movies he wanted. What was the average price of each of the DVDs he bought? In the first box he bought 10 DVDs at $2.00 each, so he paid 10*2 = $<<10*2=20.00>>20.00 In the second box he bought 5 DVDs at $5.00 each, so he paid 5*5 = $<<5*5=25.00>>25.00 He bought 10+5 = <<10+5=15>>15 DVDs He spent $20 + $25 = $<<20+25=45.00>>45.00 The average price of each DVD is $45/15 = $<<45/15=3.00>>3.00 each #### 3 Peter carried $500 to the market. He bought 6 kilos of potatoes for $2 per kilo, 9 kilos of tomato for $3 per kilo, 5 kilos of cucumbers for $4 per kilo, and 3 kilos of bananas for $5 per kilo. How much is Peter’s remaining money? The price of potatoes is 6 * 2 = $<<6*2=12>>12. The price of tomatoes is 9 * 3 = $<<9*3=27>>27. The price of cucumbers is 5 * 4 = $<<5*4=20>>20. The price of bananas is 3 * 5 = $<<3*5=15>>15. The total price Peter spent is 12 + 27 + 20 + 15 = $<<12+27+20+15=74>>74. The amount left with Peter is $500 - $74 = $<<500-74=426>>426 #### 426 Kelsey had 2/5 of a tray of eggs that she had brought to Willa's party. Stephanie had also brought half a tray of eggs to the party, while Alayah brought 40 more eggs than Kelsey and Stephanie combined. If Willa had two trays of eggs already, calculate the total number of eggs that were used at the party. A tray of eggs has 30 eggs, so Kelsey brought 2/5*30 = <<30*2/5=12>>12 eggs On the other hand, Stephanie brought 1/2*30 = <<1/2*30=15>>15 eggs to the party. The total number of eggs that Kelsey and Stephanie brought to Willa's party is 15+12 =<<15+12=27>>27 Alayah brought 27+40 = <<27+40=67>>67 eggs, 40 more than the number brought by Kelsey and Stephanie combined. Together with Aliyah's eggs, there were a total of 67+27 = <<67+27=94>>94 Willa also had 2*30 = <<2*30=60>>60 eggs from the two trays she had. In total, there were 94+60 = <<94+60=154>>154 eggs used at the party. #### 154