Rajesh walked 10 kilometers less than 4 times the distance that Hiro walked. Together they walked 25 kilometers. How many kilometers did Rajesh walk?

Define a variable ** Let H = distance Hiro walked

How far did Rajesh walk? ** 4H - 10 = distance Rajesh walked

Write and equation ** H + 4H - 10 = 25

Simplify ** 5H - 10 = 25

Simplify ** 5H = 35

How far did Rajesh walk? ** Hiro walked 7 km so Rajesh walked 4(7) - 10 =

<<7*4-10=18>>18 km How far did Rajesh walk? ** Rajesh walked <<18=18>>18 kilometers. #### 18 Lana aims to sell 20 muffins at the bake sale. She sells 12 muffins in the morning. She sells another 4 in the afternoon. How many more muffins does Lana need to sell to hit her goal? How many more muffins does Lana need to sell to hit her goal? ** Lana sold 12 muffins and has to sell 20 - 12 = 8 to hit her goal before the bake sale ends. How many more muffins does Lana need to sell to meet her target? ** When she sells another 4 in the afternoon Lana has 8 - 4 = <<8-4=4>>4 muffins left to sell to meet her target. #### 4 Lagoon island is populated by alligators. Half the alligators are male. The rest are female. Among the females, 40% are juveniles. There are 15 adult females. How many male alligators are there? How many females are adults? ** 60% of female alligators are adults because 100 - 40 = <<100-40=60>>60 How many female alligators are there? ** There are 25 female alligators because 15 / .6 = <<15/.6=25>>25 How many alligators are there? ** There are 50 alligators in total because 25 / .5 = <<25/.5=50>>50 How many male alligators are there? ** There are 25 male alligators because 50 / 2 = <<50/2=25>>25 #### 25 Erin works in the school cafeteria serving soup. Each bowl of soup has 10 ounces, and Erin can serve 5 bowls per minute. If the pot of soup has 6 gallons of soup, how long will it take Erin to serve all the soup, rounded to the nearest minute? (There are 128 ounces to a gallon.) How many ounces does Erin serve per minute? ** First find the number of ounces Erin serves per minute: 10 ounces/bowl * 5 bowls/minute = <<10*5=50>>50 ounces/minute How many ounces are in the pot? ** Then find the number of ounces in the pot: 6 gallons * 128 ounces/gallon = <<6*128=768>>768 ounces How long will it take Erin to serve all the soup? ** Then divide the total amount of soup by the amount of soup Erin serves per minute: 768 minutes / 50 ounces/minute = <<768/50=15.36>>15.36 minutes, which rounds down to 15 minutes #### 15 A carpenter is building a house. He needs 80 woodblocks to build it. If he has 8 logs that can make five woodblocks each, how many logs does the carpenter still need? How many woodblocks does the carpenter initially have? ** The carpenter initially has 8 x 5 = <<8*5=40>>40 blocks of wood. How many woodblocks does the carpenter still need? ** So he still lacks 80 - 40 = <<80-40=40>>40 blocks of wood. How many logs does the carpenter still need? ** Therefore he still needs 40 / 5 = <<40/5=8>>8 logs of wood. #### 8 Brian is a real estate agent. He makes a 2% commission on each sale. During June, he sold three houses. The houses sold for $157,000, $499,000, and $125,000. What was Brian’s total commission on these three sales? How much did Brian sell for in total? ** Brian sold houses for 157,000 + 499,000 + 125,000 = $<<157000+499000+125000=781000>>781,000 in total. How much was Brian's commission? ** Brian's commission was 781,000 * 0.02 = $<<781000*0.02=15620>>15,620 #### 15,620 Justin bought some jerseys. He bought four long-sleeved ones that cost $15 each, and some striped ones that cost $10 each. How many striped jerseys did Justin buy if he spent a total of $80? How much did the long-sleeved jerseys cost? ** Four long-sleeved jerseys cost $15 x 4 = $<<15*4=60>>60. How much did the striped jerseys cost? ** So the striped jerseys amount to $80 - $60 = $<<80-60=20>>20. How many striped jerseys did Justin buy? ** Hence, Justin bought $20/$10= <<20/10=2>>2 striped jerseys. #### 2 Hazel walked 2 kilometers in the first hour. If she walked twice as far in the second hour, how far did she walk for 2 hours? How far did Hazel walk in the second hour? ** Hazel walked 2 x 2 = <<2*2=4>>4 kilometers in the second hour. How far did Hazel walk for 2 hours? ** So, she walked 2 + 4 = <<2+4=6>>6 kilometers for 2 hours. #### 6 Oranges have 80 calories and cost $1.20 each. If Timmy has $10 and needs to make sure he gets 400 calories, how much money will he have left after he buys the oranges he needs? How many oranges does Timmy need? ** He needs to buy 5 oranges because 400 / 80 = <<400/80=5>>5 How much will the oranges cost? ** These will cost $6 because 5 x 1.2 = <<5*1.2=6>>6 How much money will Timmy have left after buying the oranges? ** He will have $4 left because 10 - 6 = <<10-6=4>>4 #### 4 There are 78 pieces of fruit in a crate. One-third of the box contains kiwi. The rest are strawberries. How many strawberries are there? How many kiwis are there? ** One-third of the fruit: 78/3 = <<78/3=26>>26 kiwis How many strawberries are there? ** The rest are strawberries: 78 - 26 = <<78-26=52>>52 How many strawberries are there? ** There are 52 strawberries in the crate. #### 52