Emily makes $1,000,000 per year. If she has 10 employees who make $20,000 per year, how much would her salary be if she took part of her salary to make sure all of her employees make $35,000 per year.
How much more do each employee need? ** Each employee needs $35,000-$20,000=$
<<35000-20000=15000>>15,000 more per year. How much extra does Emily need to pay? ** In total, Emily needs to pay $15,000*10=$<<15000*10=150000>>150,000 extra. How much will Emily's new salary be? ** Emily will need to have a new salary of $1,000,000-$150,000=$<<1000000-150000=850000>>850,000 per year. #### 850,000 Linda bought two coloring books at $4 each, 4 packs of peanuts at $1.50 each pack, and one stuffed animal. She gave the cashier $25 and got no change. How much does a stuffed animal cost? How much did Linda spend on coloring books? ** The two coloring books amount to 2 x $4 = $<<2*4=8>>8. How much did Linda spend on peanuts? ** The 4 packs of peanuts amount to 4 x $1.50 = $<<4*1.5=6>>6. How much did Linda spend in total? ** The total cost for the coloring books and peanuts is $8 + $6 = $<<8+6=14>>14. How much does a stuffed animal cost? ** Thus, the stuffed animal cost $25 - $14 = $<<25-14=11>>11. #### 11 Monika went out for the day and spent some money. She went to the mall and spent $250. Then, she went to the movies and watched 3 movies back to back that each cost $24. Then she stopped by the farmer's market on her way home and got 20 bags of beans at $1.25/bag. How much money did Monika spend throughout her day? How much did Monika spend at the movies? ** Monika spent 24*3 = <<24*3=72>>72 dollars at the movies. How much did Monika spend at the farmers market? ** Monika spent 20*1.25 = <<20*1.25=25>>25 dollars at the farmers market. How much money did Monika spend throughout her day? ** Throughout her day, Monika spent 250+72+25 = <<250+72+25=347>>347 dollars. #### 347 Nurse Missy is attending to the needs of 12 patients in her hospital ward. Most of her patients require standard care, but one-third of her patients have special dietary requirements, which increases the serving time by 20%. At dinner time, she brings each patient their meal. It takes 5 minutes to serve each standard care patient. How long does it take, in minutes, for Missy to serve dinner to all of her patients? How many special needs patients does Missy have? ** Nurse Missy has 12*(1/3)=<<12*(1/3)=4>>4 special needs patients. How many standard care patients does Missy have? ** She has 12-4=<<12-4=8>>8 standard care patients. How long does it take to serve a special needs patient? ** Special needs patients take 20% longer to serve, which means serving takes 1.2*5=6 minutes per patient. How long does it take, in minutes, for Missy to serve dinner to all of her patients? ** To serve dinner to all of her standard care patients, it will take 5*8=<<5*8=40>>40 minutes. How long does it take, in minutes, for Missy to serve dinner to all of her patients? ** To serve dinner to all of her special needs patients, it will take 6*4=<<6*4=24>>24 minutes. How long does it take, in minutes, for Missy to serve dinner to all of her patients? ** In total, it will take 40+24=<<40+24=64>>64 minutes to serve dinner to all of her patients. #### 64 Ronald can grill 15 hamburgers per session on his new grill. He needs to cook 115 hamburgers in total for tonight's party. He has already cooked 40 hamburgers. How many more sessions will it take Ronald to finish cooking all 115 hamburgers? How many more hamburgers does Ronald need to cook? ** He has to cook 115 hamburgers and has already cooked 40 so he needs to cook 115-40 = <<115-40=75>>75 more hamburgers How many more sessions will it take Ronald to finish cooking all 115 hamburgers? ** He can only cook 15 hamburgers at a time so that means he has to cook 75/15 = <<75/15=5>>5 more cooking sessions #### 5 TJ ran a 10K race last Saturday. He ran the first half in 20 minutes. He completed the second half in 30 minutes. What was his average time per kilometer? How many minutes did TJ run the 10K race? ** He ran the 10 kilometers in a total of 20 + 30 = <<20+30=50>>50 minutes. What was TJ's average pace per kilometer? ** Therefore, he ran at a pace of 50 minutes / 10 kilometers = <<50/10=5>>5 minutes per kilometer. #### 5 Alison bought some storage tubs for her garage. She bought 3 large ones and 6 small ones, for $48 total. If the large tubs cost $6, how much do the small ones cost? Define a variable ** Let t be the price of the small tubs Write an equation ** 3*6+6*t=48 Combine like terms ** 18+6*t=48 Subtract 18 from both sides ** 6*t=48-18=30 Simplify ** 6t=30 How much do the small tubs cost? ** t=<<5=5>>5 dollars for each small tub #### 5 There are 40 more buyers in the grocery store today than yesterday. There were half the number of buyers yesterday as there were the day before, and the day before had 50 buyers. Nobody visited the store on more than one day. What's the total number of buyers who've visited the store in the three days? How many buyers were there yesterday? ** If yesterday the number of buyers was half the number of buyers the day before, then yesterday there were 1/2*50 = <<1/2*50=25>>25 buyers. How many buyers were there today? ** Today has 40 more buyers than yesterday, so there were 40+25 = <<40+25=65>>65 buyers today. How many buyers have visited the store in the three days? ** The total number of buyers in the store for the three days will be 65+25+50 = <<65+25+50=140>>140 buyers #### 140 A store owner buys clothes wholesale and adds 80% to the wholesale price to set the retail price. The retail price of a pair of pants is $36. What is the wholesale price? Define a variable ** Let X be the wholesale price. Write an equation ** The retail price of a pair of pants is X + X*80% = $36. Simplify ** Thus 1.8*X = $36. Simplify ** Thus X = $36 / 1.8 = $20. #### 20 Suraya picked 12 apples more than Caleb, and Caleb picked 5 apples less than Kayla. If Kayla picked 20 apples, how many more apples did Suraya pick than Kayla? How many apples did Caleb pick? ** Caleb picked 20 - 5 = <<20-5=15>>15 apples. How many apples did Suraya pick? ** Suraya picked 12 + 15 = <<12+15=27>>27 apples. How many more apples did Suraya pick than Kayla? ** Suraya picked 27 - 20 = <<27-20=7>>7 apples more than Kayla #### 7