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Expert: - 2/19/2011


Question
1) A restaurant charges $66 per person for a buffet dinner. For every 12 people, one will get it free. A group of people came & paid a total of $5610. How many people were there in the group?

2)During school open house, Pri 5 sold 55 litres of cranberry juice. The cranberry juice was sold in cups containing 200 ml & 300 ml. An equal number of cups containing 200ml & 300mil were sold. how many cups of cranberry juice did Pri 5 sell?

3) Kim has some stickers. If she gives her friends 7 stickers each, she will have 3 stickers left. If she gives 9 stickers each, she will be short of 7 stickers. how may stickers does she have?

Answer
1. If they paid $5610 and $66 gets a person in, then it can be seen that 5610/66 is the same as
510/6, and that is 85.  Since they paid for 85 and every 12 customers gives a free one,
it needs to be noted that 84/12 = 7, so 7 got in free.  Now since 85 pai already,
and 7 got in free beyond that, there was a total of 85 + 7 = 92.

2. Since there is 200 ml in a small cup and 300 ml in a large cup,
and the same number of large and small were sold,
that makes for 500 ml being sold to 2 people.

Now 55 liters is 55,000 ml, and 55000/500 = 550/5 = 110.

3. Since she has n friends, that means that 7n + 3 = s, the number she has.
It also says that giving away 9 each makes her come up shorts, and that is 9n - 7 = s.

Basically, we can set the two equal, since they are both s.
That is, 7n + 3 = 9n - 7, which when 7n is subtracted from both sides, is the same as
3 = 2n - 7.  Now if we add 7 to both sides, we get 10 = 2n, so n = 5.

Now it asked for s, and s aws 9n-7 or 7n+3.
Doing both with n=5 gives 45-7 or 35+3, and both of these turn out to be 38.

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