A rancher has 340 head of cattle. He was about to sell them all for $204,000 when 172 of them fell sick and died. Because of the sickness, his customers lost confidence in his cattle, forcing him to lower his price by $150 per head. How much money would the devastated farmer lose if he sold the remaining cattle at the lowered price compared to the amount he would have made by selling them at the original price?
Let's think: The rancher would have sold his cattle for $204,000 / 340 = $600 per head. He was left with a remainder of 340 - 172 = 168 head of cattle. The lowered price is $600 - $150 = $450 per head. He would make $450 x 168 = $75,600 at the lowered price. He could have made $600 x 168 = $100,800 at the original price. He would lose $100,800 - $75,600 = $25,200.. The answer is: 25200.

Janet has 60 less than four times as many siblings as Masud. Carlos has 3/4 times as many siblings as Masud. If Masud has 60 siblings, how many more siblings does Janet have more than Carlos?
Let's think: If Masud has 60 siblings, and Carlos has 3 / 4 times as many siblings as Masud, Carlos has 3 / 4 * 60 = 45 siblings. Four times as many siblings as Masud has is 4 * 60 = 240. Janet has 60 less than four times as many siblings as Masud, a total of 240 - 60 = 180 siblings. The number of siblings Janet have more than Carlos is 180 - 45 = 135.. The answer is: 135.

Maisy has been offered a new job and now has the option of continuing to work at her current job or take the new job. Her current job is 8 hours a week with a wage of $10 per hour. The new job is offering 4 hours a week with a wage of $15 per hour with an additional bonus of $35 per week if she exceeds her quota. Maisy is confident that she will exceed her quota and decides to include this when calculating her wage at the new job. How much more money, in dollars, will Maisy earn at her new job?
Let's think: At her current job, Maisy earns 8 hours * $10 per hour = $80. At her new job, she would earn 4 hours * $15 per hour = $60. Including her bonus, her new job would pay $60 wage + $35 bonus = $95. So at her new job, she would earn an extra 95 – 80 = $15.. The answer is: 15.

The math teacher would be happy if the class average test score was at least 85. There are 10 students in the class, 5 of which scored a 92 on the test and 4 of which scored an 80. What would the last student have to score to at least make the teacher happy?
Let's think:
5 students scored a combined total of 92 * 5 = 460. 4 additional students scored a combined total of 80 * 4 = 320. 9 students therefore scored a combined total of 460 + 320 = 780. We know the total combined score for 10 students must be at least 85 average * 10 students = 850. Therefore, the last student must score at least an 850 - 780 = 70.. The answer is: 70.