Leila spent $40 which is 1/4 of her money on a sweater. She was then left with $20 after spending the rest of her money on buying pieces of jewelry. How much more did Leila spend on jewelry than on the sweater?
Since 1/4 of her money is $40, then Leila originally had $40 x 4 = $
<<40*4=160>>160. $160 - $40 = $<<160-40=120>>120 was left after buying a sweater. Since she is left with $20, Leila spent $120 - $20 = $<<120-20=100>>100 on jewelry. Therefore, she spent $100 - $40 = $<<100-40=60>>60 more for jewelry than on a sweater. #### 60 James needs 40 fish to make one sushi roll. He goes to the market and buys 400 fish, but later finds out that 20% of the fish have gone bad and cannot be used. How many sushi rolls did James make with the remaining fish? If James bought 400 fish, the number of fish that were bad is 20/100*400 = <<20/100*400=80>>80 The remaining fish that he used to make the sushi rolls is 400-80 = <<400-80=320>>320 If 40 fish are required to make one sushi roll, 320 fish will make 320/40 = <<320/40=8>>8 sushi rolls #### 8 Jane purchased 15 ice cream cones and 5 cups of pudding. Each ice cream cone cost $5 and each cup of pudding cost $2. How much more did Jane spend on ice cream than on pudding, in dollars? The cost of 15 cones of ice cream was 15 × $5 = $<<15*5=75>>75. The cost of the 5 cups of pudding was 5 × $2 = $<<5*2=10>>10. Jane spent $75 - $10 = $<<75-10=65>>65 more on ice cream than on pudding. #### 65 Bella eats 6 apples a day. If during the week she consumes a third of the apples Grace picks, how many apples will Grace have after 6 weeks? Bella eats during the week, 6 apples/day * 7 days/week = <<6*7=42>>42 apples/week Grace harvests 42 apples/week * 3 = <<42*3=126>>126 apples during the week. Leftover after Bella eats, 126 apples/week - 42 apples/week = <<126-42=84>>84 apples/week. After 6 weeks Grace will have 84 apples/week * 6 weeks = <<84*6=504>>504 apples. #### 504 A radio show plays for 3 hours a day. They split their show into talking segments, ad breaks and songs. Talking segments last 10 minutes each, ad breaks last 5 minutes each and songs are played throughout the rest of the show. If the radio show includes 3 talking segments and 5 ad breaks in today’s show, how long, in minutes, does the show play songs? The entire radio show plays for 3 hours * 60 minutes = <<3*60=180>>180 minutes. The talking segments use 3 talking segments * 10 minutes per talking segment = <<3*10=30>>30 minutes each. The ad breaks use 5 ad breaks * 5 minutes per ad break = <<5*5=25>>25 minutes. In total, the talking segments and ad breaks use 30+ 25 = <<30+25=55>>55 minutes. This leaves 180 – 55 = <<180-55=125>>125 minutes for the radio show to play songs. #### 125 James has a small tree outside his window with 30 branches with 90 twigs per branch. 30% of the twigs sprout 4 leaves and the rest sprout 5 leaves. How many leaves are on the tree total? First find the total number of twigs on the tree: 30 branches * 90 twigs/branch = <<30*90=2700>>2700 twigs Then multiply that number by 30% to find how many twigs have 4 leaves: 2700 twigs * 30% = <<2700*30*.01=810>>810 twigs Then subtract that number from the total number of twigs to find how many have 5 leaves: 2700 twigs - 810 twigs = <<2700-810=1890>>1890 twigs Then multiply that number by 5 to find the number of leaves on the 5-leaved twigs: 1890 twigs * 5 leaves/twig = <<1890*5=9450>>9450 leaves Then multiply the number of 4-leaved twigs by 4 to find the total number of leaves they have: 810 twigs * 4 leaves/twig = <<810*4=3240>>3240 leaves Then add the two groups of leaves to find the total number of leaves: 9450 leaves + 3240 leaves = <<9450+3240=12690>>12690 leaves #### 12690 An iron bar measures 12 cm by 8 cm by 6 cm. A factory wants to melt ten iron bars and mold them into iron balls. Each iron ball has a volume of 8 cubic cm. How many iron balls have been molded? The volume of 1 iron bar is 12 cm x 8 cm x 6 cm = <<12*8*6=576>>576 cubic cm. The volume of 10 iron bars is 10 x 576 cubic cm = <<10*576=5760>>5760 cubic cm. Therefore, there are 5760/8 = <<5760/8=720>>720 iron balls that have been molded. #### 720 James burned his hand in a freak accident. It takes him 4 weeks to heal enough to get a skin graft. After that it takes him 50% longer than that to heal from the skin graft. How long did he take to recover from everything? The skin graft took 4*.5=2 weeks longer to recover from than the previous So that means it took 4+2=<<4+2=6>>6 weeks to recover from it That means he took 4+6=<<4+6=10>>10 weeks to recover from everything #### 10 There are 180 students in ninth grade. 1/4 of them bombed their finals because they were going through difficult breakups. 1/3rd of the rest didn't show up to take the test, and another 20 got less than a D. How many students passed their finals? First find the number of students who went through breakups: 1/4 * 180 = <<1/4*180=45>>45 students Then subtract that number from the total number: 180 students - 45 students = <<180-45=135>>135 students Then divide that number by 3 to find the number of students who didn't show up to take the test: 135 students / 3 = <<135/3=45>>45 students Then subtract the number of students who failed in each way from the total number to find the number who passed: 180 students - 45 students - 45 students - 20 students = <<180-45-45-20=70>>70 students #### 70 A pound of strawberries costs $2.20 and a pound of cherries costs 6 times as much as strawberries. If Briget will buy 5 pounds of strawberries and 5 pounds of cherries, how much will it cost? Five pounds of strawberries cost $2.20 x 5 = $<<2.20*5=11>>11. A pound of cherries costs $2.20 x 6 = $<<2.20*6=13.20>>13.20. Five pounds of cherries cost $13.20 x 5 = $<<13.20*5=66>>66. Therefore, it will cost Briget a total of $11 + $66 = $<<11+66=77>>77. #### 77