Q: At Mrs. Dawson's rose garden, there are 10 rows of roses. In each row, there are 20 roses where 1/2 of these roses are red, 3/5 of the remaining are white and the rest are pink. How many roses at Mrs. Dawson's rose garden are pink?
A: 40
Step-by-step reasoning process: There are 20 x 1 / 2 = 10 red roses in each row. So there are 20 - 10 = 10 roses that are not red in each row. Out of the 10 remaining roses in each row, 10 x 3 / 5 = 6 roses are white. Thus, there are 10 - 6 = 4 pink roses in each row. Therefore, Mrs. Dawson has 4 pink roses each in 10 rows for a total of 4 x 10 = 40 pink roses in her rose garden.


Q: A trader made a profit of $960 after a week of sales. To raise $610 to pay for her next shipment of wares, she splits the profit in half and solicits donations from her family and friends. If she received a total donation of $310 and adds it to one-half of her profit, how much money did she make above her goal?
A: 180
Step-by-step reasoning process: She splits her $960 profit in half to get $960 / 2 = $480. She receives a total donation of $310, so she now has $310 + $480 = $790. She needed only $610 so she has $790 - $610 = $180 more than she needs.


Q: Bill and Jean are both cleaning out their garages. Bill makes a certain number of trips to the dump and Jean makes that many trips plus 6. If they make 40 trips total, how many trips does Jean make?
A: 23
Step-by-step reasoning process: Let b be the number of trips Bill makes and j be the number Jean makes. We know that b + j = 40, and j = b + 6. Substituting the first equation into the second equation, we get b + b + 6 = 40. Combining like terms, we get 2b + 6 = 40. Subtracting 6 from both sides, we get 2b = 34. Dividing both sides by 2, we get b = 17. Substituting that value back into j = b + 6, we get j = 17 + 6 = 23.


Q: When Betty makes cheesecake, she sweetens it with a ratio of one part sugar to four parts cream cheese, and she flavors it with one teaspoon of vanilla for every two cups of cream cheese. For every one teaspoon of vanilla, she uses two eggs. She used two cups of sugar in her latest cheesecake. How many eggs did she use?
A: 8
Step-by-step reasoning process: Betty used 2 cups of sugar in her cheesecake, so she used 2 * 1 = 2 times her ratio. Thus, she used 2 * 4 = 8 cups of cream cheese. She uses 1 teaspoon of vanilla for 2 cups of cream cheese, so she used 8 / 2 = 4 teaspoons of vanilla. For each teaspoon of vanilla, she uses 2 eggs, so she used 2 * 4 = 8 eggs.