Roberto is out for a hike. He travels uphill at 2 MPH and downhill at 3MPH. The trail is 5 miles long. 60% is uphill and the rest is downhill. How long does it take him to complete it in minutes?
There is 3 miles uphill because 5 x .6 =
<<5*.6=3>>3 This takes him 1.5 hours because 3 / 2 = <<3/2=1.5>>1.5 This takes him 90 minutes because 1.5 x 60 = <<1.5*60=90>>90 40% of the trail is downhill because 100 - 60 = <<100-60=40>>40 There are 2 miles of downhill because 5 x .4 = <<5*.4=2>>2 This takes him 2/3 of an hour because 2 / 3 = (2/3) This takes him 40 minutes because 60 x (2/3) = <<60*(2/3)=40>>40 It takes him 130 minutes in total because 90 + 40 = <<90+40=130>>130 #### 130 Alice needs to sell $1000 of shoes to meet her quota. Adidas cost $45, Nike cost $60, and Reeboks cost $35. If she sells 8 Nikes, 6 Adidas's, and 9 Reeboks, how much is she short or above her goal? The total dollar amount of Nike's sold is 8 * $60 = $<<8*60=480>>480. The total dollar amount of Adidas's sold is 6 * $45= $<<6*45=270>>270. The total dollar amount of Reebok's sold is 9 * $35 = $<<9*35=315>>315. The total dollar amount that Alice sold was $480 + $270 + $315 = $<<480+270+315=1065>>1065. Therefore, she sold above her goal by $1065 - $1000 = $<<1065-1000=65>>65. #### 65 Zach baked cookies for a bake sale. On Monday he baked 32 cookies. On Tuesday he ran out of sugar and could only bake half of the number of cookies he baked the day before. On Wednesday he baked three times the number of cookies he did on Tuesday, but his brother ate 4 of those cookies. How many cookies did he have at the end of the three days? On Tuesday he made 32/2=<<32/2=16>>16 cookies On Wednesday he made 16*3=<<16*3=48>>48 cookies Before his brother ate some he had 32+16+48=<<32+16+48=96>>96 cookies After his brother ate some he had 96-4=<<96-4=92>>92 cookies. #### 92 Manny is making lasagna for dinner with his four friends, Lisa, Raphael, Aaron, and Kai. He needs to know how many pieces to cut the lasagna into to serve it. Manny only wants one piece. Aaron doesn't like lasagna much and will probably only eat garlic bread and salad. Kai is always hungry and will eat twice as much as Manny. Raphael always eats half the amount Manny does, but his sister Lisa loves lasagna and will eat two pieces, plus any Raphael has left of his piece. How many pieces should Manny cut his lasagna into? Manny will eat 1 piece. Aaron will eat 0 pieces. Kai will eat twice as much as Manny, so he will eat 2 * 1 = <<2*1=2>>2 pieces. Raphael will eat half as much as Manny, so he will eat 1 * 1/2 = 1/2 piece. Lisa will eat 2 pieces plus the remainder of Raphael’s piece, so she will eat 2 + 1/2 = 2 1/2 pieces. Together, they will eat 1 + 0 + 2 + 1/2 + 2 1/2 = 1 + 2 + 3 = 6 pieces. Thus, Manny should cut his lasagna into 6 pieces. #### 6 John sells 20 woodburning for $15 each. The wood cost $100. How much does he make in profit? He sells the woodburning for 20*15=$<<20*15=300>>300 So he makes a profit of 300-100=$<<300-100=200>>200 #### 200 Matt rode his bike away from the house, he rode a total of 1000 feet. Along the way, he passed a stop sign that was 350 feet away from his house. He continued his ride and passed a second sign. After passing the second sign he road an additional 275 feet. How many feet are between the first and second signs? Matthew rode 350 feet to the first sign, so there are 1000-350 =<<1000-350=650>>650 feet between the first sign and the end. After passing the second sign Matthew road 275, so 650-275 = <<650-275=375>>375 feet remain. #### 375 Collin has 25 flowers. Ingrid gives Collin a third of her 33 flowers. If each flower has 4 petals, how many petals does Collin have in total? Ingrid gives Collin 33 / 3 = <<33/3=11>>11 flowers Now Collin has 25 + 11 = <<25+11=36>>36 flowers Since each flower has 4 petals, Collin has a total of 36 * 4 = <<36*4=144>>144 flowers #### 144 Reese joined a Pinterest group where members contributed an average of 10 pins per day. The group owner deleted older pins at the rate of 5 pins per week per person. If the group has 20 people and the total number of pins is 1000, how many pins would be there after Reese had been a member for a month? In a day, the total number of new pins is 10*20= <<10*20=200>>200. There will be 30*200 = <<30*200=6000>>6000 new pins after a month. The total number with old pins present is 6000+1000 = <<6000+1000=7000>>7000 pins If the owner deletes five pins every week, the total number of deleted pins in a week is 5*20 = <<5*20=100>>100 pins. After a month, the number of deleted pins will be 100*4 = <<100*4=400>>400 The number of pins after the old pins are deleted is 7000-400 = <<7000-400=6600>>6600 pins #### 6,600 For every loaf of bread that Ted buys, he needs an additional 2 packs of sandwich meat and 2 packs of sliced cheese to make 10 sandwiches. The bread costs $4.00, the sandwich meat costs $5.00 per pack and the cheese costs $4.00 per pack. He has a $1.00 off coupon for one pack of cheese and an additional $1.00 coupon for one pack of meat. How much does each sandwich cost? He buys 2 packs of sandwich meat at $5.00 a pack so 2*5.00 = $<<2*5=10.00>>10.00 He buys 2 packs of cheese at $4.00 a pack so 2*4.00 = $<<2*4=8.00>>8.00 The loaf of bread cost $4.00 plus $10.00 for meat and $8.00 for cheese so his total is 4+10+8 = $<<4+10+8=22.00>>22.00 He has coupons to use a checkout so his new total is 22-1-1 = $<<22-1-1=20.00>>20.00 He can make 10 sandwiches from his purchase and his purchase total is $20 so 20/10 = $<<20/10=2.00>>2.00 #### 2 A supermarket receives a delivery of 15 cases of tins of beans. Each case contains 24 tins. If 5% of the tins are damaged and thrown away, how many tins of beans are left? The supermarket has 15 cases × 24 tins/case = <<15*24=360>>360 tins of beans delivered to them. There are 360 tins × 0.05 = <<360*0.05=18>>18 tins that are damaged and unsellable. So in the end, there are 360 tins - 18 tins = <<360-18=342>>342 tins of beans that are left. #### 342