A school is getting ready to open for the year and the sports class is organizing the equipment they have been donated. In total, they have 300 donations to organize. 60 of these were basketball hoops, half of which also had basketballs included as part of the donation. 120 pool floats were donated, but a quarter of these were damaged and were discarded before the sports class arrived. There were 50 footballs, 40 tennis balls, and the remaining donations were basketballs. In total, how many basketballs have been donated?

How many pool floats were discarded? ** Some of the pool floats were damaged, which means that 120 / 4 =

<<120/4=30>>30 pool floats were discarded. How many pool floats were actually part of the donations? ** This left the class with 120 – 30 = <<120-30=90>>90 pool floats that were actually part of the donations they need to organize. How many donations were not basketballs? ** This means there were a total of 60 basketball hoops + 90 pool floats + 50 footballs + 40 tennis balls = <<60+90+50+40=240>>240 donations that were not basketballs. How many basketballs were donated? ** So out of the donations, there were 300 donations – 240 = <<300-240=60>>60 basketballs. How many basketballs were included with the basketball hoops? ** In addition, half of the basketball hoops were donated with a basketball included which amounts to 60 basketball hoops / 2 = <<60/2=30>>30 basketballs. How many basketballs were donated? ** There was therefore a total of 60 + 30 = <<60+30=90>>90 basketballs donated. #### 90 Dorothy spent $53 to buy doughnut ingredients. If she made 25 doughnuts and sells each for $3, how much was her profit? How much did she earn? ** She was able to earn 25 x $3 = $<<25*3=75>>75 for the doughnuts. How much was her profit? ** Therefore, Dorothy's profit is $75 - $53 = $<<75-53=22>>22. #### 22 Gavin has had 4 dreams every day for a year now. If he had twice as many dreams last year as he had this year, calculate the total number of dreams he's had in the two years. How many dreams has Gavin had this year? ** Since a year has 365 days, if Gavin has been having 4 dreams every day for a year now, he has had 4*365 = <<4*365=1460>>1460 dreams this year. How many dreams did Gavin have last year? ** Gavin had twice as many dreams last as he had this year, meaning he had 2*1460 = <<2*1460=2920>>2920 dreams last year. How many dreams has Gavin had in the two years? ** The total number of dreams he has had in the two years is 2920+1460=<<2920+1460=4380>>4380 dreams. #### 4380 Faith is getting paid $13.50 per hour. She normally works 8 hours a day, 5 days a week, plus 2 hours of overtime per day. How much will she earn by the end of the week? How much does Faith earn in a day? ** Faith earns $13.50 x 8 = $<<13.5*8=108>>108 per day. How much does Faith earn in a week? ** Since she works 5 days a week, she earns 5 x $108 = $<<5*108=540>>540 per week. How much does Faith earn in overtime? ** She gets an additional 2 x $13.50 = $<<2*13.5=27>>27 per day for the overtime pay. How much does Faith earn in overtime? ** She earns a total of $27 x 5 = $<<27*5=135>>135 additional pay for her weekly overtime. How much does Faith earn in a week? ** Therefore, Faith earns $540 + $135 = $<<540+135=675>>675 per week. #### 675 A salesman bought a case of 48 backpacks for $576. He sold 17 of them for $18 at the swap meet, 10 were sold to a department store for $25 each. If the remainder were sold for $22 each. How much was the salesman's profit? How much did the salesman sell at the swap meet? ** The salesman sold 17 bags for 17 bags x $18/bag = $<<17*18=306>>306 How much did the salesman sell to the department store? ** He sold 10 more for 10 bags x $25/bag = $<<10*25=250>>250 How many bags did the salesman sell? ** Thus far he has sold 17 bags + 10 bags = <<17+10=27>>27 bags How much did the salesman sell the remaining bags for? ** Therefore he sold 48 bags - 27 bags = <<48-27=21>>21 bags for $22 each How much did the salesman sell the remaining bags for? ** 21 bags were sold for 21 bags x $22/bag = $<<21*22=462>>462 How much was the salesman's profit? ** In total the salesman made $306 + $250 + $462 = $<<306+250+462=1018>>1018 How much was the salesman's profit? ** The salesman made $1018 - $576 = $<<1018-576=442>>442 in profit. #### 442 In a restaurant, a burger costs $9, and a pizza twice as much. How much would cost one pizza and three burgers? How much does one pizza cost? ** One pizza costs twice as much as the burger, which means 9 * 2 = $<<9*2=18>>18. How much would three burgers cost? ** Three burgers would cost 9 * 3 = $<<9*3=27>>27. How much would one pizza and three burgers cost in total? ** So one pizza and three burgers would cost in total 18 + 27 = $<<18+27=45>>45. #### 45 Mia has 4 times as many shells as David. Ava has 20 more shells than Mia. Alice has half the number of shells Ava has. If David has 15 shells, what the total number of conch shells they all have? How many shells does Mia have? ** If David has 15 shells, then Mia has 4 *15 = <<15*4=60>>60 shells. How many shells does Ava have? ** Ava has 20 more shells than Mia, so that is 60+20 = 80 shells. How many shells does Alice have? ** Alice has 1/2 the number of shells Ava has, which is 1/2*80 = <<1/2*80=40>>40 shells. What is the total number of shells they all have? ** The total number of shells all of them have is 15+60+80+40 = <<15+60+80+40=195>>195 shells. #### 195 Nancy has a bag containing 22 tortilla chips. She gives 7 tortilla chips to her brother and 5 tortilla chips to her sister, keeping the rest for herself. How many did Nancy keep for herself? How many chips did Nancy give away? ** She gave away 7+5=<<7+5=12>>12 chips. How many chips did Nancy keep? ** Then she kept 22-12=<<22-12=10>>10. #### 10 Angeli had 90 assorted candies. One-third of the candies were lollipops and the rest were candy canes. She then shared the lollipops equally among the boys such that each boy received 3. She then shared the candy canes equally among the girls such that each received 2. How many boys and girls were given altogether? How many lollipops were there? ** There were 90/3 = <<90/3=30>>30 lollipops. How many candy canes were there? ** So, 90 - 30 = <<90-30=60>>60 are candy canes. How many boys were given lollipops? ** Each boy received 3 lollipops, so there were 30/3 = 10 boys. How many girls were given candy canes? ** Each girl received 2 candy canes, so there were 60/2 = 30 girls. How many boys and girls were given altogether? ** Altogether, there were 10 + 30 = <<10+30=40>>40 boys and girls. #### 40 4/5 of the Easter eggs are blue and 1/5 are purple. Half the purple eggs have five pieces of candy each, and 1/4 of the blue eggs do. The rest of the eggs only have one piece of candy. If Jerry opens one egg at random, what is the percentage chance he'll get 5 pieces of candy? How many blue eggs have 5 pieces of candy? ** First find the probability Jerry gets a blue egg with 5 pieces of candy by multiplying the independent probabilities: 4/5 * 1/4 = 1/5 = 20% How many purple eggs have 5 pieces of candy? ** Then find the probability he gets a purple egg with 5 pieces of candy the same way: 1/5 * 1/2 = 1/10 = 10% How many ways are there to get 5 pieces of candy? ** Then add the probabilities of the two possible ways to get 5 pieces of candy to find the total probability: 20% + 10% = 30% #### 30