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?
Faith earns $13.50 x 8 = $
<<13.5*8=108>>108 per day. Since she works 5 days a week, she earns 5 x $108 = $<<5*108=540>>540 per week. She gets an additional 2 x $13.50 = $<<2*13.5=27>>27 per day for the overtime pay. She earns a total of $27 x 5 = $<<27*5=135>>135 additional pay for her weekly overtime. 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? The salesman sold 17 bags for 17 bags x $18/bag = $<<17*18=306>>306 He sold 10 more for 10 bags x $25/bag = $<<10*25=250>>250 Thus far he has sold 17 bags + 10 bags = <<17+10=27>>27 bags Therefore he sold 48 bags - 27 bags = <<48-27=21>>21 bags for $22 each 21 bags were sold for 21 bags x $22/bag = $<<21*22=462>>462 In total the salesman made $306 + $250 + $462 = $<<306+250+462=1018>>1018 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? One pizza costs twice as much as the burger, which means 9 * 2 = $<<9*2=18>>18. Three burgers would cost 9 * 3 = $<<9*3=27>>27. 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? If David has 15 shells, then Mia has 4 *15 = <<15*4=60>>60 shells. Ava has 20 more shells than Mia, so that is 60+20 = 80 shells. Alice has 1/2 the number of shells Ava has, which is 1/2*80 = <<1/2*80=40>>40 shells. 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? She gave away 7+5=<<7+5=12>>12 chips. 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? There were 90/3 = <<90/3=30>>30 lollipops. So, 90 - 30 = <<90-30=60>>60 are candy canes. Each boy received 3 lollipops, so there were 30/3 = 10 boys. Each girl received 2 candy canes, so there were 60/2 = 30 girls. 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? 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% Then find the probability he gets a purple egg with 5 pieces of candy the same way: 1/5 * 1/2 = 1/10 = 10% Then add the probabilities of the two possible ways to get 5 pieces of candy to find the total probability: 20% + 10% = 30% #### 30 Kira is making breakfast for herself. She fries 3 sausages then scrambles 6 eggs and cooks each item of food separately. If it takes 5 minutes to fry each sausage and 4 minutes to scramble each egg then how long, in minutes, did it take for Kira to make her breakfast? The sausages take 5 minutes per sausage * 3 sausages = <<5*3=15>>15 minutes to cook. The eggs take 4 minutes per egg * 6 eggs = <<4*6=24>>24 minutes to cook. So in total, it takes 15 minutes for sausages + 24 minutes for eggs = <<15+24=39>>39 minutes to cook breakfast. #### 39 Mr. Shaefer harvested 500 lychees in a carton and took them to the market. He sold half of them and took home the remaining number of lychees where they ate 3/5 of them. Calculate the number of lychees remaining. At the market, Mr. Shaefer sold half of the lychees, which is 1/2*500 = 250 The remaining number of lychees is 500-250 = <<500-250=250>>250 At home, they ate 3/5*250 = <<3/5*250=150>>150 lychees. The total number of lychees remaining is 250-150 = <<250-150=100>>100 #### 100 Padma is trading cards with Robert. Padma started with 75 cards and traded 2 or her valuable ones for 10 of Robert's cards. Robert started with 88 of his own cards and traded another 8 of his cards for 15 of Padma's cards. How many cards were traded between both Padma and Robert? Padma traded 2 + 15 of her cards = <<2+15=17>>17 cards. Robert traded 10 + 8 of his cards = <<10+8=18>>18 cards. In total, between both of them Padma and Robert traded 17 + 18 = <<17+18=35>>35 cards. #### 35