Ali, Nada, and John have a total of $67 in their wallets. Ali has $5 less than Nada and John has 4 times more than Nada. How much money does John have?

Ali, Nada, and John have a total of $67 in their wallets. Ali has $5 less than Nada and John has 4 times more than Nada. How much money does John have?

How much money does John have? ** Let's say that N is what Nada has, J is what John has, and A is what Ali has. We know that A = N - 5 and J = 4N.

Write an equation ** We also know that: N + A + J = $67

Write an equation ** We can substitute the equations from step 1 into the equations from step 2 to get: N + 4N + (N-5) = $67

Combine like terms ** Combining like terms gets us 6N - 5 = $67

How much money does Nada have? ** So, N=($67+5)/6 = $12

How much money does John have? ** Substituting $12 back into the equation J = 4 N, we find John has 4 x 12 = $

<<4*12=48>>48 #### 48 At the Boisjoli farm, there is a chicken coop where 270 hens and 3 roosters live. Every morning, around 8 a.m., Ms. Mosel goes to collect the eggs because, every morning, each hen lays one. Then, after 1 hour of collection, she puts all these eggs in boxes of 6. It takes her another 40 minutes. Once all this is done, Ms. Mosel brings all the boxes of eggs to her village. She does it from Monday to Sunday, because chickens don't have a day off. How many boxes does Ms. Mosel fill each week? How many eggs does each hen lay in 1 week? ** First calculate the number of eggs laid in 1 week: 270 X 7 = 1890 eggs How many boxes does each hen lay in 1 week? ** Now let’s put these eggs in the boxes: 1890 / 6 = <<1890/6=315>>315 boxes #### 315 Elmo has 3 times as many books as his sister, Laura. Laura has twice as many books as her brother, Stu. If Elmo has 24 books, how many books does Stu have? How many books does Laura have? ** Laura has 24/3=<<24/3=8>>8 books. How many books does Stu have? ** Stu has 8/2=<<8/2=4>>4 books. #### 4 Victoria was given a $50 bill by her mother to buy her friends snacks for their group meeting. She bought 2 boxes of pizza that costs $12 each and 2 packs of juice drinks that cost $2 each. How much money should Victoria return to her mother? How much did Victoria spend on pizza? ** Two boxes of pizza amount to $12 x 2 = $<<12*2=24>>24. How much did Victoria spend on juice? ** Two packs of juice amount to $2 x 2 = $<<2*2=4>>4. How much did Victoria spend? ** Victoria paid a total of $24 + $4 = $<<24+4=28>>28. How much money should Victoria return to her mother? ** Hence, she should return the $50 - $28 = $<<50-28=22>>22 to her mother. #### 22 Brenda and nine of her friends want to order a pizza. They decide that each person will eat 2 slices. If each pizza has 4 slices, how many pizzas should they order? How many people are in the group? ** All together, Brenda and her friends make a group of 1 + 9 = <<1+9=10>>10 people How many slices are there? ** If they each want to eat 2 pizza slices, there should be 10 * 2 = <<10*2=20>>20 slices. How many pizzas should they order? ** Since a pizza has 4 slices, they will have to order 20/4 = <<20/4=5>>5 pizzas. #### 5 Maria's monthly salary is $2000. 20% of her salary goes to paying tax, and 5% goes to insurance. Also, a quarter of the money left after the deductions is spent on utility bills. How much money does Maria have after the deductions and utility bills payment? How much money does Maria pay in tax? ** Maria's deduction for tax is 2000 x 20% = $<<2000*20*.01=400>>400. How much money does Maria pay in insurance? ** Her deduction for insurance is 2000 x 5% = $<<2000*5*.01=100>>100. How much money does Maria have after the deductions? ** Maria's total deductions is $400 + $100 = $<<400+100=500>>500. How much money does Maria have after the deductions? ** After the deductions, Maria has only $2000 - $500 = $<<2000-500=1500>>1500 left from her salary. How much money does Maria spend on utility bills? ** Then, Maria pays $1500/4 = $<<1500/4=375>>375 for the utility bills. How much money does Maria have after the deductions and utility bills payment? ** So, Maria has $1500 - $375 = $<<1500-375=1125>>1125 after the deductions and utility bills payment. #### 1125 A father is buying sand to fill his son's new sandbox, but he is worried that the sand will be too heavy for his car. The sandbox is square, with each side being 40 inches long. If a 30-pound bag of sand is enough to fill 80 square inches of the sandbox to an adequate depth, how many pounds of sand are needed to fill the box completely? How many square inches are in the sandbox? ** The sandbox has an area of 40*40 = <<40*40=1600>>1600 square inches. How many bags of sand are needed to fill the sandbox? ** To fill this area, 1600/80 = <<1600/80=20>>20 bags of sand are needed. How many pounds of sand are needed to fill the sandbox? ** Then, the weight of these bags is 20*30 = <<20*30=600>>600 pounds. #### 600 Bill is making omelets for his family's breakfast. It takes him 3 minutes to chop a pepper, 4 minutes to chop an onion, and 1 minute to grate enough cheese for one omelet. It takes him 5 minutes to assemble and cook the omelet. If he needs to chop up four peppers, two onions, and also grates cheese for cooking each of five omelets, how long will he spend preparing for and cooking the five omelets? How many minutes does Bill spend chopping peppers? ** First find the total time Bill spends chopping peppers: 4 peppers * 3 minutes/pepper = <<4*3=12>>12 minutes How many minutes does Bill spend chopping onions? ** Then find the total time Bill spends chopping onions: 2 onions * 4 minutes/onion = <<2*4=8>>8 minutes How many minutes does Bill spend grating cheese and cooking each omelet? ** Then find the combined time to grate cheese for and cook each omelet: 5+1 minute/omelet = <<5+1=6>>6 minutes How many minutes does Bill spend preparing for and cooking the five omelets? ** Then multiply the time per omelet by the number of omelets: 5 omelets * 6 minutes/omelet = <<5*6=30>>30 minutes How long does Bill spend preparing for and cooking the five omeels? ** Then add the cook time to the chopping time to find the total time Bill spends: 30 minutes + 12 minutes + 8 minutes = <<30+12+8=50>>50 minutes #### 50 Tom decides to take 10 dance lessons that cost $10 each, but he gets two of them for free. How much does he pay? How many lessons did Tom pay for? ** He paid for 10 - 2 = <<10-2=8>>8 lessons How much does Tom pay? ** That means he pays 8 * $10 = $<<8*10=80>>80 #### 80 Together Felipe and Emilio needed a combined time of 7.5 years to build their homes. Felipe finished in half the time of Emilio. How many months did it take Felipe to build his house? Define a variable ** Let F = the number of years Felipe needed to build his house How many years did Emilio need to build his house? ** Emilio = <<2=2>>2F Write an equation ** 3F = 7.5 years Divide by 3 ** F = <<2.5=2.5>>2.5 years How many months did Felipe need to build his house? ** 2.5 years = 30 months How many months did it take Felipe to build his house? ** It took Felipe 30 months to build his house. #### 30