[Question]Faith's neighborhood, with a total of 20 homes, decided to install solar panels. Each home needed 10 panels capable of providing their power needs. The supplier of the panels brought 50 panels less than the required amount. The neighbors agreed to only install the panels up to where they'd be finished. How many homes had their panels installed?
[Answer]The total number of panels required is 20 * 10 = 200 panels. When 50 failed to be delivered, the total number available for use became 200 - 50 = 150 panels. If each home requires 10 panels, the number of homes that had panels installed is 150 / 10 = 15 homes. The answer is 15.
Q: Carly is a pet groomer. Today, her task was trimming the four nails on dogs' paws. She trimmed 164 nails, but three of the dogs had only three legs. How many dogs did Carly work on?
A: Let N be the number of dogs with 4 legs Carly worked on. All the dogs with 4 legs had 4N paws. There were 3 * 3 = 9 paws on dogs with 3 legs. At 4 nails per paw, she trimmed 164 / 4 = 41 paws. She worked on 4N + 9 = 41 paws. Thus, she worked on 4N = 32 paws on dogs with 4 legs. She worked on N = 32 / 4 = 8 dogs with 4 legs. Thus, Carly worked on 8 + 3 = 11 dogs. The answer is 11.
Question: During the Mardi Gras parade, Latch caught four less than three times as many necklaces as did Rhonda. If Rhonda caught half as many necklaces as did Boudreaux, and Boudreaux caught twelve necklaces, how many necklaces did Latch catch?
Answer: Rhonda caught half as many necklaces as did Boudreaux, or 12 / 2 = 6 necklaces. Three times as many necklaces as Rhonda caught is 6 * 3 = 18 necklaces. Thus, Latch caught four less than three times as many necklaces as did Rhonda, for a total of 18 - 4 = 14 necklaces. The answer is 14.
[Question]Gretchen draws caricatures in the park on the weekends. She charges $20.00 per drawing. If she sold 24 on Saturday and 16 on Sunday, how much money did she make?
[Answer]She drew 24 on Saturday and 16 on Sunday for a total of 24 + 16 = 40 drawings. She charges $20.00 per drawing and she drew 40 caricatures so she made $20 * 40 = $800. The answer is 800.
Q: In 10 years, Cornelia will be three times as old as Kilee. If Kilee is currently 20 years old, how old is Cornelia now?
A: In 10 years, Kilee will be 20 years + 10 years = 30 years. In ten years, Cornelia will be 3 * 30 years = 90 years old. Cornelia is currently 90 years - 10 years = 80 years old. The answer is 80.
Question: Sebastian plays drums for percussion in an orchestra. He sits next to the brass section where four people play trombone, two play trumpet, and one plays a French horn. In front of them are the strings section with three violinists, a cellist, and a contrabassist. Next to the strings are a trio of clarinets and a quartet of flute players in the woodwinds section. The maestro conducts them all. How many people are in the orchestra?
Answer:
Sebastian in the percussion section makes 1 person. The brass section has 4 + 2 + 1 = 7 people. The strings section has 3 + 1 + 1 = 5 people. The woodwinds section has 3 + 4 = 7 people. The maestro is 1 person. Thus, the orchestra has 1 + 7 + 5 + 7 + 1 = 21 people in it. The answer is 21.