A mechanic charges $60 an hour to repair a car. He works 8 hours a day for 14 days on one car. The mechanic also used $2500 in parts. How much did the car's owner have to pay?
The mechanic worked 8*14=
<<8*14=112>>112 hours So the labor cost 60*112=$<<60*112=6720>>6720 That means the total cost was 6720+2500=$<<6720+2500=9220>>9220 #### 9220 Marie is planning to buy a new cash register for her bakery that costs $1040. Every day Marie sells 40 loaves of bread for $2 each and 6 cakes for $12 each. She has to pay $20 each day for rent and $2 each day for electricity. How many days' worth of profits will it take for Marie to pay for the cash register? First figure out how much money Marie makes from selling bread each day by multiplying the number of loaves sold by the price per loaf: 40 loaves * $2/loaf = $<<40*2=80>>80 Next figure out how much money Marie makes from selling cakes each day by multiplying the number of cakes sold by the price per cake: 6 cakes * $12/cake = $<<6*12=72>>72 Now add the money from selling the bread to the money from selling the cakes to find Marie's total daily income: $80 + $72 = $<<80+72=152>>152 Next subtract Marie's daily expenses from her daily income to find her daily profit: $152 - $20 - $2 = $<<152-20-2=130>>130 Finally, divide the price of the cash register by Marie's daily profit to find how many days' profits she needs to pay for it: $1040 / $130 = <<1040/130=8>>8 #### 8 Mary is trying to get Zoom set up for the first time. She spent 10 minutes downloading the Mac version, only to realize she needed the Windows version, which took three times as long to download. During her first call, the audio glitched twice for 4 minutes each time and the video glitched once for 6 minutes. She spent twice as long talking without glitches as with glitches. How much time did Mary spend downloading Zoom and talking total? First find the time Mary spent downloading the Windows version: 10 minutes * 3 = <<10*3=30>>30 minutes Then find the total time the audio glitches took: 4 minutes/glitch * 2 glitches = <<4*2=8>>8 minutes Then add the video glitch time to find the total glitch time: 8 minutes + 6 minutes = <<8+6=14>>14 minutes Then double that time to find the total glitch-free time: 14 minutes * 2 = <<14*2=28>>28 minutes Then add the talking time to the download time to find the total time: 30 minutes + 10 minutes + 14 minutes + 28 minutes = <<30+10+14+28=82>>82 minutes #### 82 Tim's website got 100 visitors a day for the first 6 days and then on the last day of the week it got twice as many visitors as every other day combined. If he gets $.01 per visit how much did he make that week? In the first 6 days, he got 6*100=<<6*100=600>>600 visits So on the 7th day, he got 600*2=<<600*2=1200>>1200 visitors So he got a total of 1200+600=<<1200+600=1800>>1800 visitors That means he made 1800*.01=$<<1800*.01=18>>18 #### 18 Jen and Tyler are gymnasts practicing flips. Jen is practicing the triple-flip while Tyler is practicing the double-flip. Jen did sixteen triple-flips during practice. Tyler flipped in the air half the number of times Jen did. How many double-flips did Tyler do? Jen did 16 triple-flips, so she did 16 * 3 = <<16*3=48>>48 flips. Tyler did half the number of flips, so he did 48 / 2 = <<48/2=24>>24 flips. A double flip has two flips, so Tyler did 24 / 2 = <<24/2=12>>12 double-flips. #### 12 Pat’s computer password is made up of several kinds of alphanumeric and symbol characters for security. He uses a string of eight random lowercase letters, a string half that length of alternating upper case letters and numbers, and one symbol on each end of the password. How many characters in all is Pat‘s computer password? The second string of characters is half as long as the first string, so it is 8 / 2 = <<8/2=4>>4 characters long. The password has one symbol on each end, so it has 1 * 2 = <<1*2=2>>2 symbol characters. In all, Pat’s computer password is 8 + 4 + 2 = <<8+4+2=14>>14 characters long. #### 14 Tom attends a party that collects $2000. Half the school attended and the school had 400 people. How much would they have made if 300 people attended? There were 400/2=<<400/2=200>>200 people in attendance So that means each person paid 2000/200=$<<2000/200=10>>10 So if 300 people attended they would have made 300*10=$<<300*10=3000>>3000 #### 3000 Magdalena has an apple tree on their farm, producing very few apples each year for a while now. However, this year, the apple tree yield was excellent, and it grew 200 apples. Magdalena picked 1/5 of the fruits on the first day, twice that number on the second day, and 20 more apples than he picked on the first day on the third day. Calculate the total number of apples remaining in the tree. Magdalena picked 1/5 * 200 apples = <<1/5*200=40>>40 apples on the first day. On the second day, she picked 2 * 40 apples = <<2*40=80>>80 apples from the tree The total number of apples that he picked on the third day is 40 apples + 20 apples = <<40+20=60>>60 apples In total, she picked 40 apples + 80 apples + 60 apples = <<40+80+60=180>>180 apples in the three days. The total number of apples remaining in the tree is 200 apples - 180 apples = <<200-180=20>>20 apples #### 20 All 20 of Grant’s baby teeth have fallen out and he has a total of $54 from the tooth fairy. Every time he lost a tooth, he put it under his pillow for the tooth fairy, except for one that he dropped on the way home from school and another he swallowed accidentally. The tooth fairy left Grant $20 when he lost his first tooth. How much did the tooth fairy leave him per tooth after his first tooth, assuming equal money exchanged for each tooth thereafter? Grant’s 20 baby teeth – 1 tooth he dropped – 1 he swallowed = <<20-1-1=18>>18 teeth left for the tooth fairy. We aren’t counting his first tooth, so 18 teeth – 1 first tooth = <<18-1=17>>17 teeth. Grant received $54 - $20 = $<<54-20=34>>34 in total for all the teeth after the first. So he received $34 / 17 teeth = $<<34/17=2>>2 for each tooth after his first tooth. #### 2 Steve writes a letter every 3rd day to his friend. He spends 20 minutes writing the letters. It takes 10 minutes to write 1 page. He also writes a long letter at the end of the month which he puts more thought into. It takes twice as long per page but he spends 80 minutes writing. How many pages does he write a month? He writes 30/3=<<30/3=10>>10 normal letters Each letter is 20/10=<<20/10=2>>2 pages So that is 2*10=<<2*10=20>>20 pages His long letter takes 2*10=<<2*10=20>>20 minutes per page So it is 80/20=<<80/20=4>>4 pages So he writes 20+4=<<20+4=24>>24 pages #### 24