A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?

Ten seats amount to $30 x 10 = $

<<30*10=300>>300. So there is $300 x 10/100 = $<<300*10/100=30>>30 discount for each 10 seats purchased. Thus, the total cost for every 10 seats is $300 - $30 = $<<300-30=270>>270. The school is going to buy 5 x 8 = <<5*8=40>>40 seats. This means that the school is going to buy 40/10 = <<40/10=4>>4 sets of 10 seats. Therefore, the school will pay a total of $270 x 4 = $<<270*4=1080>>1080 for the new seats #### 1080 Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park. If there are 60 black bears in the park and 40 more brown bears than black bears, there are 60+40 = <<60+40=100>>100 brown bears. The number of black and brown bears in the park is 100+60 = <<100+60=160>>160 Twice the number of black bears as white bears means 60/2 = <<60/2=30>>30 white bears. The population of bears in the national park is 30+160 = <<30+160=190>>190 #### 190 Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns? He only has 100 - 20 = <<100-20=80>>80 gold bars after losing 20 of them. He then gives each of his friends 80 ÷ 4 = <<80/4=20>>20 gold bars. #### 20 An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now? 1/3rd of the workers before the new hires were women because 1 - (2/3) = 1/3 There were 30 women working for the company before the new hires There are now 40 women working for the company because 30 + 10 = <<30+10=40>>40 There are 100 people working for the company because 90 + 10 = <<90+10=100>>100 The proportion of women working in the company is .4 because 40 / 100 = <<40/100=.4>>.4 The percentage of women working in the company is now 40 because .4 x 100 = <<.4*100=40>>40 #### 40 Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck? She has 108 * 4 = <<108*4=432>>432 ears of corn to shuck. She gets 500 kernels of corn from half the ears and 500 + 100 = <<500+100=600>>600 kernels from the other half. Half the number of ears of corn is 432 / 2 = <<432/2=216>>216 ears. Thus, Hilary has 216 * 500 + 216 * 600 = 108000 + 129600 = <<216*500+216*600=237600>>237600 kernels to shuck. #### 237600 James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now? He gains 120*.2=<<120*.2=24>>24 kg in muscles So he gains 24/4=<<24/4=6>>6 kg of fat That means he gains a total of 24+6=<<24+6=30>>30 kg of bodyweight So his new body weight is 120+30=<<120+30=150>>150 kg #### 150 Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year? First find the total Janet spends on clarinet lessons per week: $40/hour * 3 hours/week = $<<40*3=120>>120/week Then find the total Janet spends on piano lessons per week: $28/hour * 5 hours/week = $<<28*5=140>>140/week Then subtract her weekly clarinet spending from her weekly piano spending to find the weekly difference: $140/week - $120/week = $<<140-120=20>>20/week Then multiply the weekly difference by the number of weeks in a year to find the annual difference: $20/week * 52 weeks/year = $<<20*52=1040>>1040/year #### 1040 Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F? At a rate of 8 degrees per hour, in three hours the temperature rose by 3*8=<<3*8=24>>24 degrees. At a rate of 4 degrees per hour, the air conditioner can reduce the temperature 24 degrees in 24/4=6 hours. #### 6 Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house? For the distance she traveled, Elise paid 23 - 3 = <<23-3=20>>20 dollars Since the cost per mile is $4, the distance from Elise’s house to the hospital is 20/4 = <<20/4=5>>5 miles. #### 5 Josh is saving up for a box of cookies. To raise the money, he is going to make bracelets and sell them. It costs $1 for supplies for each bracelet and he sells each one for $1.5. If he makes 12 bracelets and after buying the cookies still has $3, how much did the box of cookies cost? He makes $.5 profit on each bracelet because 1.5 - 1 = <<1.5-1=.5>>.5 He earns $6 because 12 x .5 = <<12*.5=6>>6 The cookies cost $3 because 6 - 3 = <<6-3=3>>3 #### 3