Emily went to the store and bought art supplies for $20 and 2 skirts that cost the same amount of money. She spent a total of $50. How much did Emily pay for each of the skirts?
How much did Emily spend in total? ** First, you need to set up the problem with the information given. The cost of the skirts and art supplies must equal $
<<50=50>>50. How much did Emily spend on the skirts? ** Since we know that the cost of the skirts is the same price and that she bought art supplies for $20, we can set up an equation: 2x + 20 = 50, with x being the cost of the skirts. How much did Emily spend on the skirts? ** To solve the equation, subtract 20 from both sides, to give you the new equation: 2x = 30. How much did Emily spend on the skirts? ** Solve for x by dividing both sides of the equation by 2, 2x/2 = 30/2 gives you x = 15. How much did Emily pay for each of the skirts? ** Therefore, each skirt cost $<<15=15>>15. #### 15 A snake's head is one-tenth its length. If a snake is 10 feet long, calculate the length of the rest of its body minus the head. How long is the snake's head? ** A snake's head is one-tenth its length, which is 1/10*10 = <<1/10*10=1>>1 foot. How long is the rest of the snake's body? ** Since the snake's head is 1 foot, the rest of its body is 10-1 = <<10-1=9>>9 feet long. #### 9 The country of Belize had a 5 lane bridge that had 2000 vehicles passing through it every month. They decided to build a new bridge that had twice the capacity of the old one, and the number of vehicles passing through the new one increased by 60% more than the old bridge. If the bridges work concurrently for a year, calculate the total number of vehicles that pass through the two bridges. How many vehicles pass through the old bridge in a year? ** In a year with 12 months, the total number of vehicles passing through the old bridge is 2000*12 = <<2000*12=24000>>24000 How many more vehicles pass through the new bridge in a month than the old one? ** The new bridge has a capacity of 60/100*2000 = <<60/100*2000=1200>>1200 more vehicles passing through it in a month than the old one. How many vehicles pass through the new bridge in a month? ** The total number of vehicles passing through the new bridge in a month is 2000+1200 = <<2000+1200=3200>>3200 How many vehicles pass through the new bridge in a year? ** There are 3200*12 = <<3200*12=38400>>38400 vehicles passing through the new bridge in a year. How many vehicles pass through the two bridges in a year? ** Altogether, the two bridges have 38400+24000 = <<38400+24000=62400>>62400 vehicles passing through them in a year. #### 62400 Jon's laundry machine can do 5 pounds of laundry at a time. 4 shirts weigh 1 pound and 2 pairs of pants weigh 1 pound. If he needs to wash 20 shirts and 20 pants, how many loads of laundry does he have to do? How many pounds do the shirts weigh? ** The shirts weigh 20/4=<<20/4=5>>5 pounds How many pounds do the pants weigh? ** The pants weigh 20/2=<<20/2=10>>10 pounds How many pounds of laundry does he need to do? ** So he needs to do 10+5=<<10+5=15>>15 pounds of laundry How many loads of laundry does he have to do? ** So that would take 15/5=<<15/5=3>>3 loads of laundry #### 3 Thomas is training at the gym to prepare for a competition. He trained for 5 hours every day for a month (30 days). If he continues to train for the next 12 days, how many hours will he spend on training in total? How many days will Thomas train in total? ** In total Thomas would train on 30 + 12 = <<30+12=42>>42 days. How many hours did Thomas train in total? ** Thomas trained 5 hours every day, which would bring us to 42 * 5 = <<42*5=210>>210 hours of training in total. #### 210 Amber is baking cakes for her party. She has invited 8 friends and each one will want two slices of cake. Each cake makes 6 slices. If she bakes 4 cakes, how many slices will be left over at the end if she eats three herself? How many slices will her friends eat? ** Her friends will eat 16 slices of cake because 8 x 2 = <<8*2=16>>16 How many slices will be eaten in total? ** There will be 19 slices eaten in total because 16 + 3 = <<16+3=19>>19 How many slices are made in total? ** She is making 24 slices of cake because 4 x 6 = <<4*6=24>>24 How many pieces will be left over? ** There will be 5 pieces left over because 24 - 19 = <<24-19=5>>5 #### 5 John is lifting weights. He bench presses 15 pounds for 10 reps and does 3 sets. How much total weight does he move? How much does John press? ** He presses 15 pounds x 10 reps = <<15*10=150>>150 pounds How much total weight does John move? ** He moves 3 sets x 150 pounds = <<3*150=450>>450 pounds in total. #### 450 Travis is hired to take 638 bowls from the factory to the home goods store. The home goods store will pay the moving company a $100 fee, plus $3 for every bowl that is delivered safely. Travis must pay the home goods store $4 each for any bowls that are lost or broken. If 12 bowls are lost, 15 bowls are broken, and the rest are delivered safely, how much should Travis be paid? How many bowls have been lost or broken? ** Travis has lost or broken 12 + 15 = <<12+15=27>>27 bowls. How much will Travis need to pay the home goods store? ** Travis will need to pay the store 27 x $4 = $<<27*4=108>>108 dollars. How many bowls did Travis safely take? ** Travis has safely taken 638 - 27 = <<638-27=611>>611 bowls. How much will Travis be paid? ** For this, he will be paid 611 x $3 = $<<611*3=1833>>1833 dollars How much will Travis be paid in total? ** In total Travis will be paid $1833 + $100 = $<<1833+100=1933>>1933 dollars. How much will Travis end up with? ** Since Travis has to pay the home goods 108 for the broken and lost bowls, he will end up with $1933-$108 = $1825. #### 1825 Sam has 19 dimes and 6 quarters. She buys 4 candy bars for 3 dimes each and 1 lollipop for 1 quarter. How much money, in cents, does she have left? How many dimes do the candy bars cost? ** The candy bars cost 4*3=<<4*3=12>>12 dimes. How many dimes does Sam have left? ** Sam has 19-12=<<19-12=7>>7 dimes left. How many quarters does Sam have left? ** Sam has 6-1=<<6-1=5>>5 quarters left. How much money does Sam have left? ** Sam has 7*10+5*25=<<7*10+5*25=195>>195 cents left. #### 195 Gary is buying chlorine for his rectangular pool, which is 10 feet long, 8 feet wide, and 6 feet deep. Gary needs to buy one quart of chlorine for every 120 cubic feet of water in his pool. If chlorine costs $3 a quart, how much does Gary spend on chlorine? How many cubic feet are in the pool? ** First find the volume of the pool by multiplying the length by the width by the height: 10 ft * 8 ft * 6 ft = <<10*8*6=480>>480 cubic feet How many quarts of chlorine does Gary need? ** Then divide the volume of the pool by the number of cubic feet one quart of chlorine can sterilize: 480 cubic feet / 120 cubic feet/quart = <<480/120=4>>4 quarts How much does Gary spend on chlorine? ** Then multiply the number of quarts Gary needs to buy by the price per quart to find out how much money he spends: $3/quart * 4 quarts = $<<3*4=12>>12 #### 12