A special school has a deaf-student population 3 times its blind-student population. If there are 180 students in total, how many blind students are there?
Let the number of blind students be x.
The number of deaf students will then be 3*x = 3x students.
The total number of students is x + 3x = 180 students.
Combining like terms gives 4x = 180.
So the value of x is 180/4 =
<<180/4=45>>45. #### 45 Greg and Katie went to Mrs. Scarlet's gold store to have their gold chests opened. They realized Greg had four times less gold than Katie when Mrs. Scarlet opened the chests. If the total amount of gold is 100, how much gold does Greg have? Let's say Greg had x number of golds. Katie had 4*x = 4x The total number of gold they all had is Katie's 4x+x gold for Gref = 5x If the total amount of gold, which was 100 = 5x Then x = 100/5=<<100/5=20>>20 Greg had x = 20 gold #### 20 There are 180 school days in the academic year. Aliyah packs a lunch half the time. Becky packs her lunch half as much as Aliyah. How many days a year does Becky pack her lunch? Aliyah packs her lunch ½ the time, so in 180 school days / 2 = she packs her lunch <<180/2=90>>90 times. Becky packs her lunch ½ as much as Aliyah, so 90 times / 2 = <<90/2=45>>45 times a year. #### 45 Two boys, Ben and Leo, are fond of playing marbles. Ben has 56 marbles, while Leo has 20 more marbles than Ben. They put the marbles in one jar. How many marbles in the jar? Leo has 56 + 20 = <<56+20=76>>76 marbles. Therefore, there are 56 + 76 = <<56+76=132>>132 marbles in the jar. #### 132 Sun City has 1000 more than twice as many people as Roseville City. Roseville city has 500 less than thrice as many people as Willowdale city. If Willowdale city has 2000 people, how many people live in Sun City? Roseville city has 3*2000-500=<<3*2000-500=5500>>5500 people. Sun City has 2*5500+1000=<<2*5500+1000=12000>>12000 people. #### 12000 There were 50 racers in a bicycle charity race at the beginning of the race. After 20 minutes, 30 more racers joined the race. The total number of racers doubled after another 30 minutes. If at the end of the race only 130 people finished the race, what's the total number of people who dropped before finishing the race? At the start, there were 50 racers, who were joined by 30 more racers, thus 50+30 =<<50+30=80>>80 racers After 30 more minutes, the number of racers doubled, totaling 80*2 = 160 racers. If the number of racers who finished is 130, the 160-130 = 30 racers dropped before finishing. #### 30 Haley has 5 more necklaces than Jason. Josh has half the number of necklaces as Jason. If Haley has 25 necklaces, how many more necklaces does Haley have than Josh? Jason has 25-5 = <<25-5=20>>20 necklaces. Josh has 20/2 = <<20/2=10>>10 necklaces. Haley has 25-10 = <<25-10=15>>15 more necklaces than Josh. #### 15 A row of houses all share a community space where they put up their clotheslines. There are 2 clotheslines for every house on the street. On the street, there are a total of 11 children and 20 adults. Each child currently has 4 items of clothing on the clotheslines and each adult currently has 3 items of clothing on the clotheslines. If each clothesline can hold 2 items of clothing and all of the clotheslines are full, how many houses are on the street? From the children, there are a total of 11 children * 4 items of clothing each = <<11*4=44>>44 items of clothing on the clotheslines. From the adults, there are a total of 20 adults * 3 items of clothing each = <<20*3=60>>60 items of clothing on the clotheslines. So there are a total of 44 + 60 = <<44+60=104>>104 items of clothing on the clotheslines. This means that there are 104 items of clothing / 2 items of clothing per clothesline = <<104/2=52>>52 clotheslines. There are 2 clotheslines per house so there must be 52 clotheslines / 2 = <<52/2=26>>26 houses on the street. #### 26 Kevin has a shoebox filled with toads. Every day, Kevin feeds each toad 3 worms. It takes Kevin 15 minutes to find each worm. If it takes Kevin 6 hours to find enough worms to feed all of his toads, how many toads does Kevin have in his shoebox? If it takes 15 minutes to find each worm, then he catches 60/15 = <<60/15=4>>4 worms per hour. In 6 hours, Kevin catches 4 * 6 = <<4*6=24>>24 worms. If he feeds each toad 3 worms, then he has 24/3 = <<24/3=8>>8 toads in his shoebox. #### 8 Mr. McNeely takes a register of the total number of students present in class every day. On a particular week, the number of students in the class on the second day was 40 more than the first day. The number of students who didn't turn up for the class on the second day was twice the number of students who didn't turn up on the third day. On the third day, 1/7 of the total number of students of the class called in sick. If the total number of students in the class is 280, calculate the number of absent students in the three days. On the third day, 1/7*280 = <<1/7*280=40>>40 students called in sick. If the number of students absent on the second day was twice the number on the third day, then 2*40 = <<2*40=80>>80 students didn't show up for the class on the second day. The total number of students present in the class on the second day was 280-80= <<280-80=200>>200. If 40 fewer students showed up for the class on the first day than on the second day, then 200-40 = <<200-40=160>>160 students showed up for the class on the first day. The number of students absent on the first day is 280-160 = <<280-160=120>>120 In the three days, the total number of absentees is 120+80+40 = <<120+80+40=240>>240 #### 240