In his phone gallery, Malachi has the number of selfies he took last year and this year in the ratio of 10:17. If he has 2430 photos in his gallery, how many more photos did he take this year than last year?

The total ratio representing the number of photos in the Malachi gallery is 10+17=

<<10+17=27>>27 The difference in the ratios representing the number of photos Malachi took this year and last year is 17-10=<<17-10=7>>7. This year, Malachi took 7/27*2430= <<7/27*2430=630>>630 more photos than he took last year. #### 630 Danny has three picnics blankets. When they are unfolded they each have an area of 8 x 8. After he folds them up, their total area is 48 square feet. How many times did he fold them? The total area of each blanket is 8*8=<<8*8=64>>64 Their total area is 192 square feet because 3 x 64 = <<3*64=192>>192 He folded them 4 times because 192 / 48 = <<192/48=4>>4 #### 4 At Mrs. Dawson's rose garden, there are 10 rows of roses. In each row, there are 20 roses where 1/2 of these roses are red, 3/5 of the remaining are white and the rest are pink. How many roses at Mrs. Dawson's rose garden are pink? There are 20 x 1/2 = <<20*1/2=10>>10 red roses in each row. So there are 20 - 10 = <<20-10=10>>10 roses that are not red in each row. Out of the 10 remaining roses in each row, 10 x 3/5 = <<10*3/5=6>>6 roses are white. Thus, there are 10 - 6 = <<10-6=4>>4 pink roses in each row. Therefore, Mrs. Dawson has 4 pink roses each in 10 rows for a total of 4 x 10 = <<4*10=40>>40 pink roses in her rose garden. #### 40 Lena is making a collage with pictures of all her closest friends and newspaper clippings that are about their interests. She has found three clippings for each friend’s pictures. It takes her six drops of glue to stick down each clipping. Lena has already glued her seven closest friends’ pictures. How many drops of glue will she need for the newspaper clippings for her collage? Lena has 3 clippings per friend, so she has 3 * 7 = <<3*7=21>>21 clippings to glue. She needs 6 drops of glue per clipping, so she will need 6 * 21 = <<6*21=126>>126 drops of glue. #### 126 For every 100 additional people that board a spaceship, its speed is halved. If the speed of the spaceship with 200 people on board is 500km per hour, what is its speed in km/hr when there are 400 people on board? For every addition of 100 people added the speed is halved so for the first 100 people added its speed is 1/2 * 500 km/hr = <<500*1/2=250>>250 km/hr. For another addition of 100 people its speed is also halved, 1/2 * 250 km/hr = <<250*1/2=125>>125 km/hr. So for the total of 200 additional people, its speed is 125 km/hr #### 125 To make a yellow score mixture, Taylor has to combine white and black scores in the ratio of 7:6. If she got 78 yellow scores, what's 2/3 of the difference between the number of black and white scores she used? The total ratio representing the yellow scores that Taylor got is 7+6=<<7+6=13>>13 The difference in the ratio between the number of black and white scores Taylor used is 7-6=<<7-6=1>>1 The fraction representing the difference in the ratio between the number of black and white scores Taylor used is 1/13, representing 1/13*78=6 2/3 of the difference between the number of black and white scores Taylor used is 2/3*6=<<2/3*6=4>>4 #### 4 Jolene wants to raise some money to buy a bicycle. She babysits for 4 families for $30 each. She also washes 5 neighbors’ cars for $12 each. How much did she raise so far? For babysitting, Jolene raises 4 x $30 = $<<4*30=120>>120. For car washing, she raises 5 x $12 = $<<5*12=60>>60. So far, she has raised $120 + $60 = $<<120+60=180>>180. #### 180 Jeff has 16 GB of storage on his phone. He is already using 4 GB. If a song takes up about 30MB of storage, how many songs can Jeff store on his phone? (There are 1000 MB in a GB). Jeff has 16-4 = <<16-4=12>>12GB left over on his phone. Therefore, he has 12*1000= <<12*1000=12000>>12,000MB. Therefore, he can store 12,000/30=<<12000/30=400>>400 songs. #### 400 A classroom of 15 students turned in essays on Friday morning. The first 5 students each turned in essays with 2 pages. The next 5 students each turned in essays with 3 pages. The last 5 students each turned in essays with 1 page. What is the average page count per essay for the 15 students? The first 5 students turned in a total of 2 * 5 = <<2*5=10>>10 pages. The next 5 students turned in a total of 3 * 5 = <<3*5=15>>15 pages. The last 5 students turned in a total of 1 * 5 = <<1*5=5>>5 pages. In total there are 30 pages turned in by the students. For the 15 students, the average page count per essay is 30/15 = <<30/15=2>>2 pages. #### 2 Jane is trying to decide whether to buy a house or a trailer. A house costs $480,000 and a trailer costs $120,000. Each loan will be paid in monthly installments over 20 years. How much more is the monthly payment on the house compared to the trailer? First find how many months the loans last: 20 years * 12 months/year = <<20*12=240>>240 months Then divide the cost of the house by the number of payments to find the monthly payment before interest: $480,000 / 240 months = $<<480000/240=2000>>2000/month Then do the same thing to find the monthly payment before interest on the trailer: $120,000 / 240 months = $<<120000/240=500>>500/month Then subtract the cost of the trailer payment from the cost of the house payment to find the difference: $2000/month - $500/month = $<<2000-500=1500>>1500/month #### 1500