Moore's family compared mobile phone plans to get the best deal. At T-Mobile, the family plan costs $50 per month for the first two lines and $16 for each additional line. At M-Mobile, the family plan costs $45 for the first two lines and $14 for each additional line. Moore's family needs to purchase 5 cell phone lines. How much cheaper is the M-Mobile than T-Mobile?

The three additional lines at T-Mobile cost $16 x 3 = $

<<16*3=48>>48. The total cost of the family plan at T-Mobile is $50 + $48 = $<<50+48=98>>98. The three additional lines at M-Mobile cost $14 x 3 = $<<14*3=42>>42. The total cost of the family plan at M-Mobile is$45 + $ 42 = $<<45+42=87>>87. Therefore, M-Mobile is $98 - 87 = $<<98-87=11>>11 cheaper than T-Mobile. #### 11 Rebecca makes her own earrings out of buttons, magnets, and gemstones. For every earring, she uses two magnets, half as many buttons as magnets, and three times as many gemstones as buttons. If Rebecca wants to make 4 sets of earrings, how many gemstones will she need? Four sets of earrings is 2*4=<<2*4=8>>8 earrings. Since for one earring, she uses two magnets, for eight earrings she uses 2*8=<<2*8=16>>16 magnets. Since she uses half as many buttons as magnets, then for 8 earrings she would use 16/2=8 buttons. Since she uses three times as many gemstones as buttons, then in 8 earrings, she will use 8*3=<<24=24>>24 gemstones. #### 24 Diane bakes four trays with 25 gingerbreads in each tray and three trays with 20 gingerbreads in each tray. How many gingerbreads does Diane bake? Four trays have 4 x 25 = <<4*25=100>>100 gingerbreads. And three trays have 3 x 20 = <<3*20=60>>60 gingerbreads. Therefore, Diane bakes 100 + 60 = <<100+60=160>>160 gingerbreads. #### 160 If there were 200 students who passed an English course three years ago, and each subsequent year until the current one that number increased by 50% of the previous year's number, how many students will pass the course this year? We begin 3 years ago with 200 students, and moving forward to two years ago we find there were 200*1.5= <<200*1.5=300>>300 students who passed. At the end of the subsequent year 50% more students pass than last year's 300, so that means 300*1.5=<<300*1.5=450>>450 students pass. At the end of the current year there's another 50% increase over the previous year, meaning we have 450*1.5= <<450*1.5=675>>675 students pass. #### 675 Each frog needs to eat 30 flies per day to live. Each fish needs to eat 8 frogs per day to live. Each gharial needs to eat 15 fish a day to live. How many flies get eaten every day in this swamp if it has 9 gharials? First find the number of fish the gharials need to eat: 9 gharials * 15 fish/gharial = <<9*15=135>>135 fish Then find the number of frogs by multiplying that quantity by the number of frogs per fish: 135 fish * 8 frogs/fish = <<135*8=1080>>1080 frogs Then multiply the number of frogs by the number of flies each frog eats to find the number of flies: 1080 frogs * 30 flies/frog = <<1080*30=32400>>32,400 #### 32400 There was only enough room for 21 people on a raft if no one wore life jackets. There were 7 fewer people who could fit on the raft if everyone wore life jackets. If 8 people on the raft needed life jackets, how many people could fit on the raft? If everyone wore life jackets, only 21-7=<<21-7=14>>14 people could fit on the raft. For every person less on the raft, 14/7=<<14/7=2>>2 life jackets could fit. For 8 life jackets, 8/2=<<8/2=4>>4 less people could fit. 21-4=<<21-4=17>>17 people could fit on the raft. #### 17 Frank is practicing a new dance move. It starts with him take 5 steps back, and then 10 steps forward, and then 2 steps back, and then double that amount forward. How many steps forward is Frank from his original starting point? Frank stars by taking 10 steps forward from a position 5 steps behind where he started, so he's 10-5= <<10-5=5>>5 steps forward in total Frank then takes 2 steps back, meaning he's now 5-2=<<5-2=3>>3 steps forward in total from where he began He then takes double the previous amount of 2 steps forward, so he takes 2*2= <<2*2=4>>4 steps forward Since Frank was 3 steps forward before that, that means Frank finishes 3+4=<<3+4=7>>7 steps forward #### 7 Harold makes $2500.00 a month from his job. His rent is $700.00, his car payment is $300.00, his utilities cost 1/2 the amount of his car payment and he spends $50.00 on groceries. He wants to put half of the remaining money into a retirement account. How much money will that leave him? His utilities cost 1/2 the amount of his $250.00 car payment so his utilities cost 250/2 = $<<250/2=125.00>>125.00 All total, his bills cost him 775+250+125+50 = $<<775+250+125+50=1200>>1,200 He makes $2500 a month and his bills cost $1200 a month so that leaves him with 2500-1200 = $<<2500-1200=1300.00>>1300.00 He wants to put half of $1300 into a retirement account so he will invest 1300/2= $<<1300/2=650>>650 into his retirement account He had 1300 and puts $650 into his retirement account so that leaves him with 1300-650 = $<<1300-650=650>>650 remaining #### 650 Macy has a goal of running a total of 24 miles per week. If she runs 3 miles per day, how many miles does Macy have left to run after 6 days so that she could meet her goal? In 6 days, Macy is able to run 3 x 6 = <<3*6=18>>18 miles. Therefore, she has 24 – 18 = <<24-18=6>>6 miles left to run to meet her goal. #### 6 Amber is trying to decide if she wants to spend her $7 on candy or chips. She decides to buy the thing that she can get the most of. The bags of candy cost $1 and contain 12 ounces each. The bags of chips are $1.40 and contain 17 ounces each. How many ounces does she get if she buys the item that gives her the most? She can buy 7 bags of candy because 7 / 1 = <<7/1=7>>7 She can buy 5 bags of chips because 7 / 1.4 = <<7/1.4=5>>5. She gets 84 ounces of candy because 7 x 12 = <<7*12=84>>84 She gets 85 ounces of chips because 5 x 17 = <<5*17=85>>85 The gets 85 ounces in food because 85 > 84 #### 85