Walter works 5 days a week in a fast-food chain and earns $5 per hour. Since he is a working student, he can only work 4 hours a day and allocates 3/4 of his weekly earning for his schooling. How much does he allocate for school?

Walter's daily earning is $5 x 4 = $

<<5*4=20>>20. So he earns $20 x 5 = $<<20*5=100>>100 per week. Therefore, he allocates $100 x 3/4 = $<<100*3/4=75>>75 for his school. #### 75 Nigel won $45 but gave some away. His mother gave him $80 more. If now Nigel has $10 more than twice the amount he originally had, how much money did he give away? Twice the amount Nigel originally had is 2 * 45 = <<2*45=90>>90 dollars Now, Nigel has 10 dollars more, meaning that he has 10 + 90 = <<10+90=100>>100 dollars Before his mother gave him 80 dollars, he had been left with 100 - 80 = <<100-80=20>>20 dollars This means that Nigel gave away 45 - 20 = <<45-20=25>>25 dollars #### 25 Donna is catering for a party. She makes 20 sandwiches and then cuts them in half, before cutting them in half again. She then gives everyone 8 portions. How many people can she feed? First, we need to determine the overall number of portions. To do this, we begin by performing 20*2= <<20*2=40>>40 portions after the first halving. Next, we take this portion number and double it again, performing 40*2=<<40*2=80>>80 portions after the second halving. Lastly, we divide this portion number by the number of portions each person will be served, performing 80/8=<<80/8=10>>10 people served. #### 10 The area of square A is 25. The area of square B is 81. What's the length difference between the sides of square A and B? The area of a square is calculated as length * width. Because all a square has all sides equal then we can say that given a side S, the area is S*S For square A of sides A, the area is A*A=25 or A^2=25 Solving for A we know that A=<<5=5>>5 For square B of sides B, the area is B*B=81 or B^2=81 Solving for B we know that B=<<9=9>>9 The side difference between A and B is 9-5=<<9-5=4>>4 #### 4 John's piggy bank contains quarters, dimes, and nickels. He has three more dimes than quarters and 6 fewer nickels than quarters. If he has 63 coins, how many quarters does John have? Let x represent the number of quarters John has Nickels: x-6 Dimes: x+3 Total:x+x-6+x+3=63 3x-3=63 3x=66 x=<<22=22>>22 quarters #### 22 Marcia's hair is 24" long at the beginning of the school year. She cuts half of her hair off and lets it grow out 4 more inches. She then cuts off another 2" of hair. How long is her hair? Her hair was 24" long and she cut half off so she cut 24/2 = <<24/2=12>>12 inches Her hair was 24" long and she cut 12" off so she has 24-12 = <<24-12=12>>12 inches left She has 12" of hair and lets it grow 4 more inches for a total of 12+4 = <<12+4=16>>16 inches She has 16" and cuts off 2 more inches which leaves her hair 16-2 = <<16-2=14>>14 inches long #### 14 Katya sold 8 glasses of lemonade and Ricky sold 9 glasses of lemonade. If Tina sold twice as many as Katya and Ricky's combined sales, how many more glasses of lemonade than Katya did Tina sell? Katya and Ricky sold 8 + 9 = <<8+9=17>>17 glasses of lemonade. Tina sold 17 x 2 = <<17*2=34>>34 glasses of lemonade. Tina sold 34 - 8 = <<34-8=26>>26 more glasses of lemonade than Katya #### 26 Jennie makes quilts. She can make 7 quilts with 21 yards of material. How many yards of material would be required to make 12 quilts? The amount of material that Jennie needs per quilts is 21 yards / 7 quilts = <<21/7=3>>3 yards per quilt. In order to make 12 quilts, Jennie will need 12 quilts * 3 yards = <<12*3=36>>36 yards. #### 36 On a four-day trip, Carrie drove 135 miles the first day, 124 miles more the second day, 159 miles the third day, and 189 miles the fourth day. If she had to charge her phone every 106 miles, how many times did she charge her phone for the whole trip? Carrie drove 135 + 124 = <<135+124=259>>259 miles on the second day Carrie drove 135 + 259 + 159 + 189 = <<135+259+159+189=742>>742 miles for the whole trip. Carries charged her phone 742 / 106 = <<742/106=7>>7 times. #### 7 Peter and his dad Rupert shared the same birthday. To make it special, they each got their own birthday cake. Peter has 10 candles on his cake. Rupert is 3 and 1/2 times older than Peter. How many candles will be on Rupert's cake? Peter is 10 years old because he has 10 birthday candles on his cake. Rupert is 3.5 times older than Peter so Rupert will have 3.5*10 = <<3.5*10=35>>35 candles on his cake. #### 35