Along the highway, there are electric poles on one side of the highway and telegraph poles on the other side. The electric poles are all separated by 15 m and the telegraph poles are all separated by 72 m. If an electric and a telegraph pole are both present at the point where the highway begins, after how much distance along the highway will they both be in front of each other again?
An arithmetic sequence is a sequence of numbers a1, a2, a3,... where an - an-1 is the same value for all n. For example 2, 4, 6, 8, 10,....is such a sequence where the difference between adjoining numbers is 2. Given a, b, c, d and e are consecutive members of such a sequence, and that a + b + c + d + e = 30, what is the value of c?
One ticket to a show costs € 50. Hayley buys a total of 6 tickets for the show using a coupon that gives her a 25% discount. Jasmine buys 10 tickets using a coupon that gives a 30% discount. How much more did Jasmine pay than Hayley?
The parking lot of the theater has a capacity of 208 cars. On Tuesday, the ratio of the empty parking spots to occupied parking spots is 15:37. The number of cars that were parked there on that day is:
Reece has 9 pairs of blue socks and 5 pairs of brown socks. All the socks are in a bag. If Reece picks the socks without looking at them, how many socks he has to remove from the bag before he can be sure that he has a pair of blue color ?