John commissions an artist to make him a 9 by 13 drawing. A black and white drawing that size would cost $160. He wants a color drawing so that is 50% more expensive. How much did he pay?

How much is the coloring? ** The extra cost for coloring is 160*.5=$

<<160*.5=80>>80 How much did he pay? ** So the total cost was 160+80=$<<160+80=240>>240 #### 240 A bar of steel weighs twice the mass of a bar of tin. If a steel bar also weighs 20 kgs more than a copper bar and a copper bar weighs 90 kgs, calculate the total weight of a container with 20 bars of each type of metal. How much does a copper bar weigh? ** The total weight of 20 bars of copper is 20*90 = <<20*90=1800>>1800kgs How much does a steel bar weigh? ** If a copper bar weighs 90 kgs, and a steel bar weighs 20 kgs more than a copper bar, the weight of a steel bar is 90+20 = <<90+20=110>>110 kgs. How much does a container with 20 bars of each type of metal weigh? ** If a bar of steel weighs 110 kgs, 20 bars will weigh 20*110 = 2200kgs How much does a container with 20 bars of each type of metal weigh? ** The total weight of 20 bars of copper and steel is 2200+1800 = <<2200+1800=4000>>4000 kgs How much does a bar of tin weigh? ** A bar of steel weighs twice the mass of a bar of tin, meaning a bar of tin weighs 110/2 = <<55=55>>55 kgs How much does a container with 20 bars of tins weigh? ** The total weight of 20 bars of tins is 55*20= <<55*20=1100>>1100 kgs How much does a container with 20 bars of each type of metal weigh? ** The total weight of 20 bars of each metal is 4000+1100 = 5100 kgs #### 5100 Farmer Red has three milk cows: Bess, Brownie, and Daisy. Bess, the smallest cow, gives him two pails of milk every day. Brownie, the largest cow, produces three times that amount. Then Daisy makes one pail more than Bess. How many pails of milk does Farmer Red get from them each week? How many pails does Bess give him every day? ** Bess produces 2 pails every day. How many pails does Brownie give him every day? ** Brownie produces 3 times as much * 2 = <<3*2=6>>6 pails every day. How many pails does Daisy give him every day? ** Daisy produces 2 + 1 more pail than Bess = <<2+1=3>>3 pails every day. How many pails do Bess, Brownie, and Daisy give him every day? ** Bess, Brownie, and Daisy together produce 2 + 6 + 3 = <<2+6+3=11>>11 pails every day. How many pails does Farmer Red get from them each week? ** A week is 7 days, so Farmer Red gets 11 * 7 = <<11*7=77>>77 pails each week. #### 77 While preparing for a meeting, Bill fills Dixie cups with water from out of a water cooler. The water cooler initially contains 3 gallons of water, and each Dixie cup holds 6 ounces of water. If Bill fills one cup of water per each meeting chair, and there are 5 rows of meeting chairs with 10 chairs in each row, then how many ounces of water will be left in the cooler after all cups have been are filled? (There are 128 ounces in a gallon.) How many ounces are in the water cooler? ** First find the total number of ounces in the water cooler: 3 gallons * 128 ounces/gallon = <<3*128=384>>384 ounces How many chairs are there? ** Then find the total number of dixie cups Bill pours: 5 rows * 10 chairs/row = <<5*10=50>>50 chairs How many ounces does Bill pour? ** Then find the total number ounces Bill pours: 50 attendees * 6 ounces/attendee = <<50*6=300>>300 ounces How many ounces are left in the cooler? ** Then subtract the amount of water Bill pours from the cooler from the initial amount to find the final amount: 384 ounces - 300 ounces = <<384-300=84>>84 ounces #### 84 There were 600 people in the stadium when the football game started. Before the game was over, one-fourth of the boys and one-eighth of the girls left early. How many people remained to see the end of the game if there were 240 girls at the beginning of the game? How many boys were there at the beginning of the game? ** There were 600 - 240 = <<600-240=360>>360 boys at the beginning of the game. How many boys left early? ** So, 360 x 1/4 = <<360*1/4=90>>90 boys left early. How many girls left early? ** And 240 x 1/8 = <<240*1/8=30>>30 girls left early. How many people left early? ** A total of 90 + 30 = <<90+30=120>>120 people left early. How many people remained to see the end of the game? ** Therefore, 600 - 120 = <<600-120=480>>480 people remained to see the end of the game. #### 480 Susie and Britney each keep chickens, of two different breeds. Susie has 11 Rhode Island Reds and 6 Golden Comets. Britney has twice as many Rhode Island Reds as Susie, but only half as many Golden Comets. How many more chickens are in Britney's flock than in Susie's? How many Rhode Island Reds does Britney have? ** Britney has 11*2=<<11*2=22>>22 Rhode Island Reds. How many Golden Comets does Britney have? ** She has 6/2=<<6/2=3>>3 Golden Comets. How many chickens does Britney have? ** She has 22+3=<<22+3=25>>25 total. How many chickens does Susie have? ** Susie has 11+6=<<11+6=17>>17 total. How many more chickens does Britney have than Susie? ** Britney has 25-17=<<25-17=8>>8 more. #### 8 James takes up dancing for fitness. He loses twice as many calories per hour as he did when he was walking. He dances twice a day for .5 hours each time and he does this 4 times a week. He burned 300 calories an hour walking. How many calories does he lose a week from dancing? How many calories does James burn an hour? ** He burns 2*300=<<2*300=600>>600 calories an hour How many hours does James dance in a day? ** He dances for .5*2=<<.5*2=1>>1 hour per day How many calories does James burn in a day? ** So he burns 600*1=<<600=600>>600 calories per day How many calories does James burn in a week? ** So he burns 600*4=<<600*4=2400>>2400 calories per week #### 2400 When Betty makes cheesecake, she sweetens it with a ratio of one part sugar to four parts cream cheese, and she flavors it with one teaspoon of vanilla for every two cups of cream cheese. For every one teaspoon of vanilla, she uses two eggs. She used two cups of sugar in her latest cheesecake. How many eggs did she use? How many cups of sugar did Betty use? ** Betty used 2 cups of sugar in her cheesecake, so she used 2 * 1 = <<2*1=2>>2 times her ratio. How many cups of cream cheese did Betty use? ** Thus, she used 2 * 4 = <<2*4=8>>8 cups of cream cheese. How many teaspoons of vanilla did Betty use? ** She uses 1 teaspoon of vanilla for 2 cups of cream cheese, so she used 8 / 2 = 4 teaspoons of vanilla. How many eggs did Betty use? ** For each teaspoon of vanilla, she uses 2 eggs, so she used 2 * 4 = <<2*4=8>>8 eggs. #### 8 The difference between the number of boys and girls in a tree planting event is 400. If there are 600 boys at the event, and the number of girls is more than the number of boys, what's 60% of the total number of boys and girls at the event? How many girls are there? ** If there are 600 boys at the event, and the difference between boys and girls is 400, there are 600+400=<<600+400=1000>>1000 girls. How many boys and girls are there? ** The total number of boys and girls at the event is 1000+600=<<1000+600=1600>>1600 What is 60% of the total number of boys and girls at the event? ** 60% of the total number of boys and girls at the event is 60/100*1600=<<60/100*1600=960>>960 #### 960 Alia has 2 times as many markers as Austin. Austin has one-third as many markers as Steve does. If Steve has 60 markers, how many does Alia have? How many markers does Austin have? ** Austin has 60/3=<<60/3=20>>20 markers How many markers does Alia have? ** Alia has 20*2=<<20*2=40>>40 markers #### 40