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1.
The number of children in Kindergarten A is 4 more than the number of children in Kindergarten B. If 8 children from Kindergarten A move to Kindergarten B, the number of children in Kindergarten B will be 1.5 times the children in Kindergarten A. What is the average number of children in both Kindergartens?
2.
At the end of a shift, three waiters (A, B and C) divided the tips between them. Since they each served a different number of tables they decided to take that into account when dividing the tips between the three of them. As a result, B received one third of A and C together, and A received four ninths of B and C together. If the amount of tips C received was £15.6 more than B, what was the total amount of tips shared by the three waiters?
3.
In 2006, forest rangers caught and tagged a randomly picked group of bears that live in the "Beary Cute" reserve. They counted 300 bears before releasing them back to nature. During 2007, the rangers gathered a group of 500 bears, 200 of which had tags from the previous year. The distribution within the 2007 group represents the relative part of tagged and non-tagged bear populations of the reserve. What is the total bear population in the reserve, assuming no change in population occurred between 2006 and 2007?
4.
Chris would like to purchase a 52" LED television. He has already saved 3/5 of the cost of the television. His family offered to pay 33% of the price as a birthday present so now he only has to save an additional 63 pounds in order to be able to afford the television. How much does the television cost?
5.
A restaurant charges one price for all dinner meals and one price for all breakfast meals. If the price of six dinner meals and three breakfast meals is £105 and the price of two dinner meals and eight breakfast meals is £84, which of the following will NOT cost one-half the price of six dinner meals and four breakfast meals?
6.
A certain highway charges tolls for each vehicle based on the number of adults and children in the vehicle. In order to encourage carpooling, every vehicle, regardless of type, with at least three people in it receives a flat reduction in the tolls while every vehicle with less than three people in it has to pay an additional amount equal to the flat reduction for vehicles with at least three people in them. If a car with three adults and two children has to pay £10.50 and a bus with eleven adults and six children has to pay £37, how much would a vehicle with just one adult have to pay?
7.
At a certain football stadium, the cost of one hot dog plus one soda is £7. If the difference between the price of two hot dogs and the price of one soda is £11, what is the difference between the price of four hot dogs and the price of four sodas?
8.
A family of two adults and their three children decides to go see a movie together. Normally, they pay £31 for the tickets. However, the movie theatre recently launched an annual membership card costing £100. Card holders are entitled to a 25% reduction on the 2nd adult ticket and an extra free child ticket for every two child tickets they buy. How many times a year should the family go see a movie in order for the membership card to be paid off if the normal price of three adult tickets and two child tickets is £34?
9.
Tom is twice as old as Larry, who is two years older than Connor. If three years from now, the sum of the ages of Connor and Tom will be 73, what will be Larry's age 6 years from now?
10.
Josh and Ella received gifts for their birthdays. The ratio between the number of gifts Josh got to the number of gifts Ella got is 3 to 5. If Ella gives Josh 4 of her gifts, the number of gifts each of them gets will be equal. How many gifts did Josh and Ella receive together?