Ziggy is a club DJ. Typically, Ziggy gets 30 song requests every night. Half the songs requested are electropop. A third of that amount are requests for dance music. Five song requests are rock music, and song requests for oldies are three less in number than rock requests. Ziggy plays a DJ's choice song half the number of times he plays an oldie. Ziggy also sometimes gets rap song requests. Typically, how many rap songs does Ziggy get requested every night? Give the rationale and then the answer.
Let's think step by step. Ziggy gets 30 / 2 = 15 electropop song requests every night. There are 15 / 3 = 5 dance song requests every night. There are 5 - 3 = 2 oldies requests every night. Ziggy plays DJ's choice 2 / 2 = 1 time every night. Thus, Ziggy gets 30 - 15 - 5 - 5 - 2 - 1 = 2 rap songs requested every night.. The answer is: 2.

Mary is writing a story, and wants her 60 characters to be split according to their initials. Half of her characters have the initial A, and half of this amount have the initial C. Mary wants the rest of her characters to have the initials D and E, but she wants there to be twice as many characters with the initial D as there are characters with the initial E. How many of Mary's characters have the initial D? Give the rationale and then the answer.
Let's think step by step. Half the characters have the initial A, which is a total of 60 / 2 = 30 characters. This means that 30 / 2 = 15 characters have the initial C. Mary wants the remaining 60 30 15 = 15 characters to have the initials D or E. For there to be twice as many characters with the initial D, the characters are divided into 2 + 1 = 3 parts. Dividing by this means there are 15 / 3 = 5 characters with the initial E. This leaves 15 5 = 10 characters with the initial D.. The answer is: 10.

Joseph drives his car at 50 mph for 2.5 hours. Kyle drives his car at 62 mph for 2 hours. How many more miles does Joseph drive than Kyle? Give the rationale and then the answer.
Let's think step by step. Joseph travels for 50 * 2.5 = 125 miles. Kyle travels for 62 * 2 = 124 miles. Joseph drives for 125 - 124 = 1 mile more than Kyle.. The answer is: 1.