If the wages of 15 workers for 6 days is $9450. What would be the wages for 19 workers for 5 days?

This is equivalent to one worker working for 15 * 6 =

<<15*6=90>>90 days. The pay per worker per day would be $9450 / 90 = $<<9450/90=105>>105. 19 workers working for 5 days is equivalent to one worker working for 19 * 5 = <<19*5=95>>95 days. It would cost $105 * 95 = $<<105*95=9975>>9975 to pay the workers for their time. #### 9975 Steven's teacher sends the class an assignment to collect 60 different fruit seeds. Apples average 6 seeds, pears average 2 seeds, and grapes average 3 seeds. Steven has set aside 4 apples, 3 pears, and 9 grapes to extract their seeds. How many more seeds does he need to fulfill his assignment? With 4 apples, Steven will collect 4 apples * 6 seeds/apple = <<4*6=24>>24 seeds. With 3 pears, Steven will collect 3 pears * 2 seeds/pear = <<3*2=6>>6 seeds. With 9 grapes, Steven will collect 9 grapes * 3 seeds/grape = <<9*3=27>>27 seeds. In total, Steven will collect 24 seeds + 6 seeds + 27 seeds = <<24+6+27=57>>57 seeds. To collect 60 seeds he needs 60 seeds - 57 seeds = <<60-57=3>>3 more seeds. #### 3 A pastry chef is making brownies but is running out of butter. The recipe he is following calls for 2 ounces of butter for every 1 cup of baking mix; however, it allows 2 ounces of coconut oil to be substituted for the 2 ounces of butter if necessary. The chef would like to use as much butter as possible before switching over and substituting coconut oil. If the chef had 4 ounces of butter remaining, and he plans on using 6 cups of baking mix, how many ounces of coconut oil will he end up using? Every 2 ounces of butter is enough to cover 1 cup of baking mix, so the chef's remaining 4 ounces of butter will be enough to cover 4/2 = <<4/2=2>>2 cups of baking mix. This leaves 6 - 2 = <<6-2=4>>4 cups of baking mix that will require the use of coconut oil as a substitute. Since each cup of baking mix requires 2 ounces of coconut oil, these 4 cups will require a total of 4*2 = <<4*2=8>>8 ounces of coconut oil. #### 8 For the first hour of work, Manolo can make face-masks at the rate of one every four minutes. Thereafter, he can make face-masks at the rate of one every six minutes. How many face-masks does Manola make in a four-hour shift? He makes 60/4=<<60/4=15>>15 in the first hour He makes 60/6=<<60/6=10>>10 in each subsequent hour There are 4-1=<<4-1=3>>3 more hours in his shift He makes 15+10*3=<<15+10*3=45>>45. #### 45 Mary needs school supplies. She has 6 classes and needs 1 folder for each class. She also needs 3 pencils for each class. She decides that for every 6 pencils she should have 1 eraser. She also needs a set of paints for an art class. Folders cost $6, pencils cost $2, and erasers cost $1. If she spends $80, how much did the set of paints cost in dollars? Mary needs 6*1= <<6*1=6>>6 folders. Mary needs 6*3= <<6*3=18>>18 pencils. Mary needs 18/6= <<18/6=3>>3 erasers. Mary spends 6*6= $<<6*6=36>>36 on folders. Mary spends 18*2= $<<18*2=36>>36 on pencils. Mary spends 3*1= $<<3*1=3>>3 on erasers. Mary spends 36+36+3= $<<36+36+3=75>>75 on all the supplies except the paints. Mary spends 80-75= $<<80-75=5>>5 on the paint set. #### 5 Jasmine swims 12 laps every afternoon, Monday through Friday. How many laps does she swim in five weeks? Jasmine swims 5 days a week. The number of laps per week is 12 laps/day * 5 days/week = <<12*5=60>>60 laps/week. In five weeks, she swims 5 weeks * 60 laps/week = <<5*60=300>>300 laps. #### 300 Verna weighs 17 pounds more than Haley, and Verna weighs half as much as Sherry. If Haley weighs 103 pounds, how many pounds do Verna and Sherry weigh together? Verna weighs 103+17 = <<103+17=120>>120 pounds Sherry weighs 120*2 = <<120*2=240>>240 pounds Verna and Sherry weigh 120+240=<<120+240=360>>360 pounds together. #### 360 Melany has to fence a 5000 feet square field with wire mesh. If one foot of wire mesh is sold at $30, and she had $120000, how many feet of the field will not be fenced? Since one-foot wire mesh is sold at $30, with $120000, Melany can buy $120000/$30 = <<120000/30=4000>>4000 feet of wire mesh. If Melany has to fence 5000 feet of the field and has 4000 feet of wire mesh, she will not fence 5000-4000 = <<5000-4000=1000>>1000 feet of the field. #### 1000 To get clean, Michael takes a bath twice a week and a shower once a week. How many total times does he clean himself in 52 weeks, which is about one year? Michael cleans himself 3 times a week because 2 + 1 = <<2+1=3>>3 He cleans himself 156 times 52 weeks because 52 x 3 = <<156=156>>156 #### 156 John is performing in 3 plays. Each play has 5 Acts. He wears 2 wigs per act. Each wig cost $5. He drops one of the plays and sells all of the wigs for that play for $4. How much money did he spend? He used 5*2=<<5*2=10>>10 wigs per play So in total, he used 10*3=<<10*3=30>>30 wigs They cost 30*5=$<<30*5=150>>150 He gets back 10*4=$<<10*4=40>>40 from selling the wigs So he spent 150-40=$<<150-40=110>>110 #### 110