A group of 6 students organized a fundraiser to go to Nicaragua for the summer. For them to go on the trip, each of them needs at least $450. On top of that, they need $3000 for their miscellaneous collective expenses. On the first day of their fundraiser, they receive $600. On the second day, they receive $900, and on the third day, they receive $400. For the next 4 days, they receive only half of what they raised on the first 3 days. How much more money does each person need to raise for them to reach their goal?
How much money do they need to raise? ** All together, they need to raise ($450 x 6) + $3000 = $
<<450*6+3000=5700>>5700 How much money did they raise the first 3 days? ** The raised $600 + $900 + $400 = $<<600+900+400=1900>>1900 the first 3 days. How much money did they raise the next 4 days? ** For the next 4 days, they only raised $1900/2 = $<<1900/2=950>>950 How much money did they raise in the week? ** In the week, they raised $1900 + $950 = $<<1900+950=2850>>2850 How much more money does each person need to raise for them to reach their goal? ** They still need $5700 - $2850 = $<<5700-2850=2850>>2850 How much more money does each person need to raise for them to reach their goal? ** Each person still needs $2850/6 = $<<2850/6=475>>475 #### 475 Janessa has a plan to give her brother Dexter his first collection of baseball cards. She currently has 4 cards in addition to the 13 that her father gave her. She ordered a collection of 36 cards from eBay. After inspecting the cards she found 4 cards are in bad shape and decides to throw them away. Janessa ended up giving Dexter 29 cards. How many cards did Janessa keep for herself? How many cards does Janessa have? ** Janessa starts with 4 cards + 13 cards = <<4+13=17>>17 cards. How many cards does Janessa have after the purchase? ** She adds 17 cards + 36 cards = <<17+36=53>>53 cards from the eBay purchase. How many cards does Janessa throw away? ** Janessa decides to throw away 53 cards - 4 cards = <<53-4=49>>49 cards due to damage. How many cards did Janessa keep for herself? ** After giving Dexter the present we know that Janessa kept 49 cards - 29 cards = <<49-29=20>>20 cards for herself. #### 20 Page collects fancy shoes and has 80 pairs in her closet. She decides to donate 30% of her collection that she no longer wears. After dropping off her donation, she treats herself and buys 6 more pairs to add to her collection. How many shoes does she have now? How many pairs of shoes does she donate? ** She donates 30% of her 80 pairs of shoes so that’s .30*80 = <<30*.01*80=24>>24 pair of shoes she donates How many pairs of shoes does she have after donating? ** She had 80 shoes in her collection and donates 24 so that leaves 80-24 = <<80-24=56>>56 pairs of shoes How many shoes does she have now? ** She now has 56 pairs of shoes and buys 6 more pairs so her collection is now 56+6 = <<56+6=62>>62 pairs of shoes #### 62 Bob ordered 80 packs of Greek yogurt from Costco to use for the month. However, when the delivery arrived, he realized 40% of the packs were expired. He decided to return those packs. If each pack was $12, how much was Bob refunded for the expired product? How many packs were expired? ** The number of Greek yogurt packs that had expired is 40/100*80 = <<40/100*80=32>>32 How much was Bob refunded? ** If each pack of Greek yogurt was sold at $12, for the 32 packs of greek yogurt that he returned, Bob was refunded $12*32 = $<<12*32=384>>384 #### 384 Jackie can do 5 push-ups in 10 seconds. How many push-ups can she do in one minute if she takes two 8-second breaks? How many seconds does Jackie’s push-up routine take? ** There are 60 seconds per minute, so Jackie’s push-up routine takes 1 * 60 = <<60=60>>60 seconds. How many seconds do her breaks last? ** Her breaks last 2 * 8 = <<2*8=16>>16 seconds. How many seconds does Jackie do push-ups for? ** She does push-ups for 60 - 16 = <<60-16=44>>44 seconds. How many seconds does it take Jackie to do a push-up? ** She can do a push-up in 10 / 5 = <<10/5=2>>2 seconds. How many push-ups can Jackie do in one minute with breaks? ** Therefore, Jackie can do 44 / 2 = <<44/2=22>>22 push-ups in one minute with breaks. #### 22 A box of six popsicles was left out in the sun and is slowly melting. Every time a popsicle melts the remaining popsicles melt twice as fast as the previous one. How many times faster than the first popsicle does the last popsicle’s remains melt? How fast does the second popsicle's remains melt? ** The remains of the second popsicle melt 2 * 1 = <<2*1=2>>2 times as fast as the first. How fast does the third popsicle's remains melt? ** The remains of the third popsicle melt 2 * 2 = <<2*2=4>>4 times as fast as the first. How fast does the fourth popsicle's remains melt? ** The remains of the fourth popsicle melt 2 * 4 = <<2*4=8>>8 times as fast as the first. How fast does the fifth popsicle's remains melt? ** The remains of the fifth popsicle melt 2 * 8 = 16 times as fast as the first. How fast does the sixth popsicle's remains melt? ** The remains of the sixth popsicle melt 2 * 16 = <<2*16=32>>32 times as fast as the first popsicle. #### 32 Alex had 36 ounces of jelly beans. He ate 6 ounces. Then he divided the rest equally into 3 piles. How much does each pile weigh? How many ounces did Alex eat? ** Start by taking out the ones he ate: 36 ounces - 6 ounces = <<36-6=30>>30 ounces. How many ounces are in each pile? ** Divide the remainder equally: 30 ounces / 3 piles = <<30/3=10>>10 ounces per pile. #### 10 Samanta is planning a party for her friend Marta. She decided to raise some money among the guests she invited, to buy Marta a gift. Every participant gave Samanta $5 for this purpose and she herself put in $10. The gift cost was lower than expected, so there was $15 leftover. What was the price of the gift, if there were 12 guests invited? How much money did Samanta get from all the guests? ** From all the guests Samanta got $5/guest * 12 guests = $<<5*12=60>>60. How much money did Samanta have? ** Including money Samanta put herself, she had $60 + $10 = $<<60+10=70>>70. What was the cost of the gift? ** The cost of the gift was $70 - $15 = $<<70-15=55>>55. #### 55 A father and a son start approaching each other at the same time from opposite ends of a hallway that is 16m long. If the father is walking three times as fast as the son, at what distance from the father's end of the hallway will they meet? How fast is the father walking compared to his son? ** Since the father is walking 3 times as fast as his son, their speeds are in a ratio of 3:1 respectively How fast will they cover distance? ** They started at the same time so they will cover distance at the same ratio of 3:1 How far did each of them walk? ** Each portion of the distance they covered is 16/(3+1) = <<16/(3+1)=4>>4m How far did the father walk? ** The father covered three portions of the distance which is 3*4m = <<3*4=12>>12m from his end #### 12 Lightning McQueen, the race car, cost 140000$. Mater only cost 10 percent of that, and Sally McQueen cost triple what Mater costs. How much does Sally McQueen cost? How much does Mater cost? ** Mater:140000(.10)=14000$ How much does Sally McQueen cost? ** Sally:14000(3)=42000$ #### 42000